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Percentage Word Problems 5th Grade
Welcome to our Percentage Word Problems. In this area, we have a selection of percentage problem worksheets for 5th grade designed to help children learn to solve a range of percentage problems.
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Percentage Learning
Percentages are another area that children can find quite difficult. There are several key areas within percentages which need to be mastered in order.
Our selection of percentage worksheets will help you to find percentages of numbers and amounts, as well as working out percentage increases and decreases and converting percentages to fractions or decimals.
Key percentage facts:
- 50% = 0.5 = ½
- 25% = 0.25 = ¼
- 75% = 0.75 = ¾
- 10% = 0.1 = 1 ⁄ 10
- 1% = 0.01 = 1 ⁄ 100
Percentage Word Problems
How to work out percentages of a number.
This page will help you learn to find the percentage of a given number.
There is also a percentage calculator on the page to support you work through practice questions.
- Percentage Of Calculator
This is the calculator to use if you want to find a percentage of a number.
Simple choose your number and the percentage and the calculator will do the rest.

Here you will find a selection of worksheets on percentages designed to help your child practise how to apply their knowledge to solve a range of percentage problems..
The sheets are graded so that the easier ones are at the top.
The sheets have been split up into sections as follows:
- spot the percentage problems where the aim is to use the given facts to find the missing percentage;
- solving percentage of number problems, where the aim is to work out the percentage of a number.
Each of the sheets on this page has also been split into 3 different worksheets:
- Sheet A which is set at an easier level;
- Sheet B which is set at a medium level;
- Sheet C which is set at a more advanced level for high attainers.
Spot the Percentages Problems
- Spot the Percentage 1A
- PDF version
- Spot the Percentage 1B
- Spot the Percentage 1C
- Spot the Percentage 2A
- Spot the Percentage 2B
- Spot the Percentage 2C
Percentage of Number Word Problems
- Percentage of Number Problems 1A
- Percentage of Number Problems 1B
- Percentage of Number Problems 1C
- Percentage of Number Problems 2A
- Percentage of Number Problems 2B
- Percentage of Number Problems 2C
- Percentage of Number Problems 3A
- Percentage of Number Problems 3B
- Percentage of Number Problems 3C
More Recommended Math Worksheets
Take a look at some more of our worksheets similar to these.
6th Grade Percentage Word Problems
The sheets in this area are at a harder level than those on this page.
The problems involve finding the percentage of numbers and amounts, as well as finding the amounts when the percentage is given.
- 6th Grade Percent Word Problems
Percentage of Money Amounts
Often when we are studying percentages, we look at them in the context of money.
The sheets on this page are all about finding percentages of different amounts of money.
- Money Percentage Worksheets
Percentage of Number Worksheets
If you would like some practice finding the percentage of a range of numbers, then try our Percentage Worksheets page.
You will find a range of worksheets starting with finding simple percentages such as 1%, 10% and 50% to finding much trickier ones.
- Percentage of Numbers Worksheets
Converting Percentages to Fractions
To convert a fraction to a percentage follows on simply from converting a fraction to a decimal.
Simply divide the numerator by the denominator to give you the decimal form. Then multiply the result by 100 to change the decimal into a percentage.
The printable learning fraction page below contains more support, examples and practice converting fractions to decimals.

- Converting Fractions to Percentages

- Convert Percent to Fraction
Online Percentage Practice Zone
Our online percentage practice zone gives you a chance to practice finding percentages of a range of numbers.
You can choose your level of difficulty and test yourself with immediate feedback!
- Online Percentage Practice
- Ratio Part to Part Worksheets
These sheets are a great way to introduce ratio of one object to another using visual aids.
The sheets in this section are at a more basic level than those on this page.
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Unit 3: Lesson 3
- Solving percent problems
- Percent word problem: magic club
- Percent word problems: tax and discount
- Percent word problem: guavas
Percent problems
- Your answer should be
- an integer, like 6 6 6 6
- a simplified proper fraction, like 3 / 5 3/5 3 / 5 3, slash, 5
- a simplified improper fraction, like 7 / 4 7/4 7 / 4 7, slash, 4
- a mixed number, like 1 3 / 4 1\ 3/4 1 3 / 4 1, space, 3, slash, 4
- an exact decimal, like 0.75 0.75 0 . 7 5 0, point, 75
- a multiple of pi, like 12 pi 12\ \text{pi} 1 2 pi 12, space, start text, p, i, end text or 2 / 3 pi 2/3\ \text{pi} 2 / 3 pi 2, slash, 3, space, start text, p, i, end text
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Percentage word problems
Before you take a look at the percentage word problems in this lesson and their solutions, it may help to review the lesson about formula for percentage or you can use the different techniques that I use here.

Different types of percentage word problems
There are three different types of percentage word problems. We will show how to solve them using proportions.
- What is 80% of 20? ( example #1 )
- 50 is 25% of what number? ( example #2 )
- 18 is what percent of 24? What percent of 2000 is 3500? ( example #3 and example #4 )
Solving percentage word problems using proportions
You can solve problems involving percents using the proportion you see in the figure above: ( n% / 100% = Part / Whole )
First, study the figure carefully! Then, we will show how to use the proportion to solve percentage word problems by creating diagrams to visualize relationships.
Example #1: A test has 20 questions. If peter gets 80% correct, how many questions did peter miss?
First, you need to find the number of correct answers by looking for 80% of 20.

When the problem involves looking for the part or the problem says something like, "Find 80% of 20" or "Find 30% of 50," just change the percent to a decimal and multiply.
80% of 20 = (80 / 100) × 20 = 0.80 × 20 = 16
Since the test has 20 questions and he got 16 correct answers, the number of questions Peter missed is 20 − 16 = 4
Recall that 16 is called the percentage. It is the answer you get when you take the percent of a number.
Percentage = Part
Example #2: In a school, 25% of the teachers teach basic math. If there are 50 basic math teachers, how many teachers are there in the school?
Once again set the problem up as shown in the figure below. Notice that the question is, " How many teachers are in the school?"
Therefore, the whole is missing this time!

Method #2 I shall help you reason the problem out!
When we say that 25% of the teachers teach basic math, we mean 25% of all teachers in the school equals number of teachers teaching basic math.
Since we don't know how many teachers there are in the school, we replace this with x or a blank. However, we know that the number of teachers teaching basic math is equal to the percentage = part = 50 Putting it all together, we get the following equation: 25% of ____ = 50 or 25% × ____ = 50 or 0.25 × ____ = 50 Thus, the question is 0.25 times what gives me 50? A simple division of 50 by 0.25 will get you the answer 50 / 0.25 = 200 Therefore, we have 200 teachers in the school In fact, 0.25 × 200 = 50
More percentage word problems
Example #3: 24 students in a class took an algebra test. If 18 students passed the test, what percent do not pass?
Solution First, find out how many student did not pass. Number of students who did not pass is 24 − 18 = 6
Then, write down the following equation: x% of 24 = 6 or x% × 24 = 6
To get x%, just divide 6 by 24 6 / 24 = 0.25 = 25 / 100 = 25% Therefore, 25% of students did not pass.
Example #4: A fundraising company would like to raise $2000 for a cause. The fundraiser was so successful that they ended up raising $3500. What percent of their goal did they raise?
Notice that the whole is 2000 since this is the whole money they expect to raise. The part is the amount that the fundraiser ended with and it usually lower than the amount they expect to raise. However, in this particular case, the part ended up being bigger than the whole. Keeping this in mind, here is how to set it up and solve it!

The fundraising company was able to raise 175% of the expected amount.
Example #5:
A department has a total of 22,000 units of stock. 25% of the garments are black and 10% of the garments are size 14.
a) How many black garments are there? b) How many size 14 garments are there? c) If 10% of the black garments are size 14,how many garments are black and size 14?
Note that the solution we show below for example #5 use a completely different approach or technique. Read it carefully and try to learn it as well!
25% = 25 per 100 = 250 per 1000 For 22,000 just multiply 250 by 22 250 × 22 = 250 × (10 + 10 + 2)
= 2500 + 2500 + 500 = 5000 + 500 = 5500
So, there are 5500 black garments.
10% = 10 per 100 = 100 per 1000 For 22,000 just multiply 100 by 22 100 × 22 = 2200 So, 2200 of the garments are size 14.
If 10% or 10 per 100 of the black garments are size 14, then 100 per 1000 of the black garments are size 14.
500 per 5000 are size 14. However, you need to find it for 5500 black garments.
Then, what is 10% of 500? 10% = 10 per 100, so 50 per 500. So 550 of the black garments are size 14.
If you really understand the percentage word problems above, you can solve any other similar percentage word problems. If you still do not understand them, I strongly encourage you to study them again and again until you get it. The end result will be very rewarding!
Finding a percentage
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Percent Word Problems Worksheets
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The beauty of our pdf percent word problems worksheets is they deliver the concept of percentages, which when taught as an abstract concept can trip children up, as fun, realistic, and vivid as it could be. The tasks include calculating percentages using word problems, finding a percent increase or percent decrease, and more! Word problems require students to read, interpret the situation, and use the correct formula to find the answer. The printable resources are included with answer key to help students instantly double-check the solutions.
These pdf worksheets are most recommended for students in grade 5, grade 6, and grade 7.
CCSS: 6.RP, 7.RP
Calculating Percentage Word Problems | Worksheet #1
Remind students that they must divide the ‘part’ by ‘whole’ and multiply it by 100. Take an eventful trip to the world of percentages and boast superior skills at finding percents!

Calculating Percentage Word Problems | Worksheet #2
There are 6 blue flowers in a bouquet of 14 flowers. What is the percentage of blue flowers in the bouquet? Bring your A-game to answer such questions in this free, no-prep resource.

Finding Percent Increase or Decrease | Worksheet #1
Few days pass by in life when we don't hear about a percent increase or percent decrease! Let the 6th grade and 7th grade children explore more in this printable assessment worksheet.

Finding Percent Increase or Decrease | Worksheet #2
Get calculating increases and decreases in percentages in a trice! Divide the change by the original number and multiply it by 100. A positive change means a percent increase, and vice versa.

Percent Error Word Problems Worksheets
Predictions don't always come true! Grade 6 and grade 7 children experience this firsthand in this pdf, as they draw on word problems that use the correct formula to identify the percent error.

Related Worksheets
▶ Percent of a Number
▶ Percent of Change
▶ Word Problems
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Percentage Word Problem Worksheets
Percentages can be calculated from fractions and decimals. Although there are many steps to calculate a percentage, it can be simplified a bit. Multiplication is used if you work with a decimal, and division is used to convert a mixed number to a percentage.
The word percentage means 100 percent. For example, 10 percent means 10 out of 100. This can be written as 10 or 10% or as a fraction of 10/100, or as a decimal such as .10. It can look at numbers written in different formats and choose them as potential percentages can help students prepare for tests.
Benefits of Percentage Word Problem Worksheets
Cuemath's interactive math worksheets consist of visual simulations to help your child visualize the concepts being taught, i.e., "see things in action and reinforce learning from it." The percentage word problem worksheets follow a step-by-step learning process that helps students better understand concepts, recognize mistakes, and possibly develop a strategy to tackle future problems and In the Percent Problems Worksheet, we will also practice different types of questions about calculating percentage word problems.
Download Percentage Word Problem Worksheet PDFs
Percent Word Problems
In these lessons we look at some examples of percent word problems. The videos will illustrate how to use the block diagrams (Singapore Math) method to solve word problems.
Related Pages More Math Word Problems Algebra Word Problems More Singapore Math Word Problems

How to solve percent problems with bar models? Examples:
- Marilyn saves 30% of the money she earns each month. She earns $1350 each month. How much does she save?
- At the Natural History Museum, 40% of the visitors are children. There are 36 children at the museum. How many visitors altogether are at the museum?
- Bill bought cards to celebrate Pi day. He sent 60% of his cards to his friends. He sent 42 cards to his friends. How many cards did he buy altogether?
- Bruce cooked 80% of the pancakes at the pancake breakfast last weekend. They made 1120 pancakes. How many pancakes did Bruce cook?
Sales Tax and Discount An example of finding total price with sales tax and an example of finding cost after discount.
- Alejandro bought a TV for $900 and paid a sales tax of 8%. How much did he pay for the TV?
- Alice saved for a new bike. The bike was on sale for a discount of 35%. The original cost of the bike was $270. How much did she pay for the bike?
Percent Word Problems Example: There are 600 children on a field. 30% of them were boys. After 5 teams of boys join the children on the field, the percentage of children who were boys increased to 40%. How many boys were there in the 5 teams altogether?
Problem Solving - Choosing a strategy to solve percent word problems An explanation of how to solve multi-step percentage problems using bar models or choosing an operation. Example: The $59.99 dress is on sale for 15% off. How much is the price of the dress?
How to solve percent problems using a tape diagram or bar diagram? Example: An investor offers $200,000 for a 20% stake in a new company. What amount does the investor believe the toatl value of the business is worth at this time? How to use a tape diagram or bar diagram to find the answer?
- First draw a bar that represents the company’s whole value.
- Divide into 5 equal parts because 100%/20% = 5.
- Label one side with the percentages.
- Label the other side $200,000 across from 20% because that was given.
- Finish labeling the money side.
- Find solution.
Solve Percent Problems Using a Tape Diagram (Bar Diagram) Example: a) If $300 is increased by 25% what is the new amount? b) What is 19% of 120? c) Joe went to an athletic store to purchase new running shoes. To his surprise, the store was having a 20% off athletic shoes sale. He purchased a new pair of shoes that were regularly priced $60. How much did Joe pay for his shoes?

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Percent word problems worksheets
Free percent word problems worksheet collection for kids.
Instead of only seeing a pattern in the solutions, a percent word problem worksheet can help students read and consider the questions . On our website, we have worksheets with percentage word problems including an answer key and in-depth solutions, which the students can review at any time.
Benefits of Percent Word Problems Worksheets
Percent word problems worksheet helps kids to improve their speed, accuracy, logic, and reasoning skills.
The percent word problems worksheets give students the chance to work through a wide range of issues, assisting them in laying a solid mathematical foundation. It also aids children in developing their speed, accuracy, logical thinking, and reasoning abilities when performing basic calculations relating to the topic of percent.
Percent word problem worksheets are also helpful for students to prepare for various competitive exams.
Our Math worksheets include visual simulations that allow students to see the problems in action, a step-by-step solution that is provided in detail to help students better understand the process, and each worksheet has detailed explanations about the percent.
On WorksheetZone, we have millions of free printable worksheets ready for you to use. Let's get started!

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Basic Percent of Word Problems
Percentage word problems worksheets, word problems on percentage.
Introducing a great variety of percentage word problems to help you solve any percentage problems.
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Percent: Word Problems
Percent Word Problems - Examples and Worked Solutions of Word Problems using block diagrams, How to solve percent problems with bar models or tape diagrams
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Percentage Word Problems
Percentage problems usually work off of some version of the sentence (this) is (some percentage) of (that), which translates to (this) = (some decimal) * (
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Percent word problems (practice)
Word Problems on Percentage 1. In a class 60% of the students are girls. 2. Emma scores 72 marks out of 80 in her English exam. 3. Mason was able to sell 35%
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NCERT Solutions for Class 6, 7, 8, 9, 10, 11 and 12
Word Problems on Percentage
November 26, 2020 by Veerendra
For those looking for Word Problems on Percentage have arrived at the right destination. Make use of the Percent Word Problems available and solve similar kinds of questions easily. Practice the Problems on Percentage with Solutions regularly and get a detailed explanation to cross-check where you went wrong. After referring to our article you can solve various problems related to the percentage quickly and efficiently.
1. 10% of the books in a public library are Science books. If there are 90,000 books in the library, find the number of Science books available?
Total number of books = 90000
10% of books are science
therefore, 10/100*90,000
The Total Number of Science Books available in the library are 9000.
2. A baseball pitcher won 70% of the games he pitched. If he pitched 40 ballgames, how many games did he win?
70/100 =x /40
Cross Multiplying we have = (70*40)/100
Therefore, he won 28 games.
3. David took a math test and got 25 correct and 15 incorrect answers. What was the percentage of correct answers?
Total Answers = 25+15
Percentage of Correct Answers = 25/40*100
Therefore, David got 62.5% of correct answers.
4. There are 45 Carpenters in a Crew. On a certain day, 27 were present. What Percent showed up for work?
Percentage of Carpenters Showed up for work = (27/45)*100
Therefore, 60% of Carpenters Showed up for Work.
5. A metal bar weighs 7 Kg. 93% of the bar is Silver. How many Kgs of silver is there in the bar?
From the given data
93% of the bar is silver
= 93% of 7kg
Therefore, 6.51 Kg of Silver is there in the bar.
6. A packet contained 540 chocolates. 55% of the Chocolates were distributed to the children. Calculate how many chocolates are distributed?
No. of Chocolates distributed = 55% of 540
= 55/100*540
= 29700/100
297 Chocolates are distributed.
7. A man had $4,50,000 worth of property. He left 50% of his property to his son. How much did his son get?
Total Property worth = $4, 50, 000
Property his son got = 50% of 4, 50, 000
= 50/100*4, 50, 000
Therefore, the son got $2, 25, 000.
8. In an Exam Asha secured 300 marks. If she secured 75 % marks, find the maximum marks?
Asha secured 300 marks
Let the Maximum Marks be m
75% of m = 300
(75/100)*m = 300
m = (300*100)/75
The maximum marks in the Exam are 400.
9. An alloy contains 24 % of copper. What quantity of alloy is required to get 280 g of copper?
Let the quantity of copper needed = m
24% of m = 280g
24/100*m = 280
m = (280*100)/24
= 1166.66 gms
The Quantity of Alloy Required to get 280g of Copper is 1166.66 gms.
10. Geetha scores 60 marks out of 80 in her Maths exam. Convert her Marks into Percent?
Percent of Marks Geetha got = (60/80)*100
Thus, Geetha Scored 75% of Marks in her Maths Exam.
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Basic "Percent of" Word Problems
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When you learned how to translate simple English statements into mathematical expressions, you learned that "of" can indicate "times". This frequently comes up when using percentages.
Suppose you need to find 16% of 1400 . You would first convert the percentage " 16% " to its decimal form; namely, the number " 0.16 ".
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Percent Word Problems
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Why does the percentage have to be converted to decimal form?
When you are doing actual math, you need to use actual numbers. Percents, being the values with a "percent" sign tacked on, are not technically numbers. This is similar to your grade-point average ( gpa ), versus your grades. You can get an A in a class, but the letter "A" is not a numerical grade which can be averaged. Instead, you convert the "A" to the equivalent "4.0", and use this numerical value for finding your gpa .
When you're doing computations with percentages, remember always to convert the percent expressions to their equivalent decimal forms.
Once you've done this conversion of the percentage to decimal form, you note that "sixteen percent OF fourteen hundred" is telling you to multiply the 0.16 and the 1400 . The numerical result you get is (0.16)(1400) = 224 . This value tells you that 224 is sixteen percent of 1400 .
How do you turn "percent of" word problems into equations to solve?
Percentage problems usually work off of some version of the sentence "(this) is (some percentage) of (that)", which translates to "(this) = (some decimal) × (that)". You will be given two of the values — or at least enough information that you can figure out what two of the values must be — and then you'll need to pick a variable for the value you don't have, write an equation, and solve the equation for that variable.
What is an example of solving a "percent of" word problem?
- What percent of 20 is 30 ?
We have the original number 20 and the comparative number 30 . The unknown in this problem is the rate or percentage. Since the statement is "(thirty) is (some percentage) of (twenty)", then the variable stands for the percentage, and the equation is:
30 = ( x )(20)
30 ÷ 20 = x = 1.5
Since x stands for a percentage, I need to remember to convert this decimal back into a percentage:
Thirty is 150% of 20 .
What is the difference between "percent" and "percentage"?
"Percent" means "out of a hundred", its expression contains a specific number, and the "percent" sign can be used interchangeably with the word (such as " 24% " and "twenty-four percent"); "percentage" is used in less specific ways, to refer to some amount of some total (such as "a large percentage of the population"). ( Source )
In real life, though, including in math classes, we tend to be fairly sloppy in using these terms. So there's probably no need for you to worry overmuch about this technicallity.
- What is 35% of 80 ?
Here we have the rate (35%) and the original number (80) ; the unknown is the comparative number which constitutes 35% of 80 . Since the exercise statement is "(some number) is (thirty-five percent) of (eighty)", then the variable stands for a number and the equation is:
x = (0.35)(80)
Twenty-eight is 35% of 80 .
- 45% of what is 9 ?
Here we have the rate (45%) and the comparative number (9) ; the unknown is the original number that 9 is 45% of. The statement is "(nine) is (forty-five percent) of (some number)", so the variable stands for a number, and the equation is:
9 = (0.45)( x )
9 ÷ 0.45 = x = 20
Nine is 45% of 20 .
The format displayed above, "(this number) is (some percent) of (that number)", always holds true for percents. In any given problem, you plug your known values into this equation, and then you solve for whatever is left.
- Suppose you bought something that was priced at $6.95 , and the total bill was $7.61 . What is the sales tax rate in this city? (Round answer to one decimal place.)
The sales tax is a certain percentage of the price, so I first have to figure what the actual numerical amount of the tax was. The tax was:
7.61 – 6.95 = 0.66
Then (the sales tax) is (some percentage) of (the price), or, in mathematical terms:
0.66 = ( x )(6.95)
Solving for x , I get:
0.66 ÷ 6.95 = x = 0.094964028... = 9.4964028...%
The sales tax rate is 9.5% .
In the above example, I first had to figure out what the actual tax was, before I could then find the answer to the exercise. Many percentage problems are really "two-part-ers" like this: they involve some kind of increase or decrease relative to some original value.
Note : Always figure the percentage of change of increase or decrease relative to the original value.

- Suppose a certain item used to sell for seventy-five cents a pound, you see that it's been marked up to eighty-one cents a pound. What is the percent increase?
First, I have to find the absolute (that is, the actual numerical value of the) increase:
81 – 75 = 6
The price has gone up six cents. Now I can find the percentage increase over the original price.
Note this language, "increase/decrease over the original", and use it to your advantage: it will remind you to put the increase or decrease over the original value, and then divide.
This percentage increase is the relative change:
6 / 75 = 0.08
...or an 8% increase in price per pound.
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Word Problems on Percentage
Word problems on percentage will help us to solve various types of problems related to percentage. Follow the procedure to solve similar type of percent problems.
Word problems on percentage:
1. In an exam Ashley secured 332 marks. If she secured 83 % makes, find the maximum marks.
Let the maximum marks be m.
Ashley’s marks = 83% of m
Ashley secured 332 marks
Therefore, 83% of m = 332
⇒ 83/100 × m = 332
⇒ m = (332 × 100)/83
⇒ m =33200/83
Therefore, Ashley got 332 marks out of 400 marks.
2. An alloy contains 26 % of copper. What quantity of alloy is required to get 260 g of copper?
Let the quantity of alloy required = m g
Then 26 % of m =260 g
⇒ 26/100 × m = 260 g
⇒ m = (260 × 100)/26 g
⇒ m = 26000/26 g
⇒ m = 1000 g
3. There are 50 students in a class. If 14% are absent on a particular day, find the number of students present in the class.
Solution:
Number of students absent on a particular day = 14 % of 50
i.e., 14/100 × 50 = 7
Therefore, the number of students present = 50 - 7 = 43 students.
4. In a basket of apples, 12% of them are rotten and 66 are in good condition. Find the total number of apples in the basket.
Solution:
Let the total number of apples in the basket be m
12 % of the apples are rotten, and apples in good condition are 66
Therefore, according to the question,
88% of m = 66
⟹ 88/100 × m = 66
⟹ m = (66 × 100)/88
⟹ m = 3 × 25
Therefore, total number of apples in the basket is 75.
5. In an examination, 300 students appeared. Out of these students; 28 % got first division, 54 % got second division and the remaining just passed. Assuming that no student failed; find the number of students who just passed.
The number of students with first division = 28 % of 300
= 28/100 × 300
= 8400/100
= 84
And, the number of students with second division = 54 % of 300
= 54/100 × 300
=16200/100
= 162
Therefore, the number of students who just passed = 300 – (84 + 162)
= 54
Questions and Answers on Word Problems on Percentage:
1. In a class 60% of the students are girls. If the total number of students is 30, what is the number of boys?
2. Emma scores 72 marks out of 80 in her English exam. Convert her marks into percent.
Answer: 90%
3. Mason was able to sell 35% of his vegetables before noon. If Mason had 200 kg of vegetables in the morning, how many grams of vegetables was he able to see by noon?
Answer: 70 kg
4. Alexander was able to cover 25% of 150 km journey in the morning. What percent of journey is still left to be covered?
Answer: 112.5 km
5. A cow gives 24 l milk each day. If the milkman sells 75% of the milk, how many liters of milk is left with him?
Answer: 6 l

6. While shopping Grace spent 90% of the money she had. If she had $ 4500 on shopping, what was the amount of money she spent?
Answer: $ 4050
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Practice the questions given in the worksheet on percentage of a number. We know, to find the percent of a number we obtain the given number and then multiply the number by the required percent i.e., x % of a = x/100 × a 1. Find the following: (i) 22 % of 140

Worksheet on Percent Problems | Questions on Application of Percentage
In worksheet on percent problems we will practice various types of questions on calculating percentage problems. To answer the questions review application of percentage before practicing the sheet. Fill in the blanks:(i)The symbol of percent is … (ii)The word ‘cent’ means …

To Find the Percent of a Given Number | Word Problem on Percentage
What is 18% of 500? 18% of 500 represent 18 parts out of hundred, so 18% of 500 represents 18 parts for each hundred which is 18 + 18 + 18 + 18 + 18 = 90. Thus, 18% of 500 = 90 So, 18% of 500 = \(\frac{18}{100}\) × 500 = 18 × 5 = 90. To find the percent of a given number

Convert a Decimal into Percentage | Conversion of Decimal into Percent
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To Convert a Fraction into a Percentage|Converting Fraction to Percent
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![word problems on percent To convert a percentage into a fraction, place the given number over 100 and reduce it to its lowest term. Consider the following example: (i) 20% [We know % = 1/100]](https://www.math-only-math.com/images/convert-a-percentage-into-a-fraction.png.pagespeed.ce.VC0XAoXKQV.png)
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Percentage into Decimal | Percentage as Decimals|Percent into Fraction
How to convert a given percentage into decimal? We will follow the following steps for converting a percentage into a decimal: Step I: Obtain the percentage which is to be converted into decimal Step II: Remove the percentage sign (%) and divide it by 100.

Percentage | Symbol of Percent | Fraction with Denominator 100
A fraction with denominator 100 is called percentage and is denoted by the symbol %. In our daily life, we see a lot of statements with numbers followed by a symbol %. A number followed by % is called a percentage or percent. The term percent comes from the Latin phrase per
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Word Problem on Percentage: Definitions, Formulas, Problems, Examples

A percentage is a fraction or a ratio in which the value of the whole is always 100. The word percentage is originated from the Latin word “Per centum”, which describes the value equals per hundred. We can say that percentages are nothing but fractions, with their denominator always equal to a hundred. Generally, they are represented by the symbol \(\%.\)A word problem on percentage consists of a few sentences describing a real-life scenario where a mathematical calculation of percentage must use to solve a problem.
We have various applications of the percentage. We have to follow some methods or formulas to solve different problems related to percentages in mathematics. In this article, we will discuss how to solve word problems on percentage.

Definition of Percentage
In mathematics, a percentage is a number that can be written in the form of a fraction, with the denominator equal to a cent value (hundred). The percentage defines the part per cent value (Hundred). The word percentage originated from the Latin word “Per centum”, which describes the value equals per hundred. Generally, the percentage is represented by the symbol \(\%.\) The percentage is said to be a dimensionless number as it has no units. In general percentage of a number can be expressed in the fractional form or decimal form. Example: \(\frac{2}{3}\% ,\,0.3\% ,\,75\% \) etc.
Definition of Word Problem on Percentage
As we know, percentage defines the part per cent value (Hundred). We have various problems associated with the percentage in real life. A word problem on percentage consists of a few sentences describing a real-life scenario where a mathematical calculation of percentage must be used to solve a problem.
Word problem on percentage tells the applications of percentage in our daily life. The various types of word problems on percentage are listed below:
- Word problem on a percentage of a number
- Word problems on percentage increase
- Word problems on percentage decrease
- Word problems on parts of percentage
- Word problems on the conversion of percentages to fractions, ratio, decimals and vice-versa.
- Word problems on percentage profit and loss
- Word problems on the percentage of marks
- Word problems on percentage errors
Word Problems on a Percentage of a Number
We can find the percentage of a number by dividing the given number by the whole and multiplying it by a hundred. Percentage \( = \frac{{{\text{actual}\;\text{number}}}}{{{\text{total}\;\text{number}}}} \times 100\)

Example: Calculate the percentage of marks of Keerthi in Maths. She got \(99\) marks out of \(100.\) The percentage received by Keerthi in Maths is given by \(\frac{{99}}{{100}} \times 100 = 99{\%}\)
Learn the Concept of Percentage Here
Word Problems in Percentage Increase
The problems related to the increase in the country’s population, increase in the number of species, increase in the commodity etc., are the problems related to percentage increase. Percentage increase means the percentage change in the given value when it is increased for a given period of time, and it can be calculated by using the formula: \({\mathbf{Percentage}}\;{\mathbf{Increase}} = \frac{{{\mathbf{increased}}\;{\mathbf{value}} – {\mathbf{original}}\;{\mathbf{value}}}}{{{\mathbf{original}}\;{\mathbf{value}}}} \times 100\)
Example: The population of the town in \(2000\) is \(1,00,000\) and in the year \(2010\) is \(1,50,000\). Find the percentage increase in the population. The percenatge increase in population \( = \frac{{1,50,000 – 1,00,000}}{{1,00,000}} \times 100 = 50\%\)
Word Problems in Percentage Decrease
The problems related to a decrease in the number of patients in the hospital, a decrease in the level of rainfall, etc., are related to percentage decrease. Percentage decrease means the percentage change in the given value when it is decreased for a given period of time, and it can be calculated by using the formula: \({\mathbf{Percentage}}\;{\mathbf{decrease}} = \frac {{{\mathbf{original}}\;{\mathbf{value}}} – {{{\mathbf{decreased}}\;{\mathbf{value}}}}}{{\mathbf{original}}\;{\mathbf{value}}} \times 100\)
Example: The rainfall is decreased in a city from \(200\,\rm{cm}\) to \(150\,\rm{cm}\). Find the percentage decrease in the rainfall. Percentage decrease in rainfall \( = \frac{{200 – 150}}{{200}} \times 100 = 25\;\% \)

Word Problem on Percentage
The \(x\%\) of \(y\) or \(y\%\) of \(x\) can be written as \(\frac{{xy}}{{10}}.\)
Example: Keerthi paid \(25\%\) of her income \(Rs. 20,000\) to insurance. Find the percentage of the amount she paid to insurance. Percentage of income paid to insurance \( = 25\%\) of \(20,000 = 25 \times \frac{{20,000}}{{100}} = {\text{Rs}}.\,5000\)
Word Problems on Profit and Loss Percentage
Profits (and losses) are generally calculated in the form of profit per cent, and it tells how much profit or loss each business/individual gets. Profit \(= {\rm{selling}}\,{\rm{price}} – {\rm{cost}}\,{\rm{price}}.\) Profit percentage is given by \({\% }\,{\text{profit = }}\frac{{{\text{profit}}}}{{{\text{cost}}\,{\text{price}}}} \times 100\) As in the case of loss, the selling price is less than that of the cost price. Loss \(= {\rm{cost}}\,{\rm{price}} – {\rm{selling}}\,{\rm{price}}.\) Loss percentage is given by \({\% }\,{\text{loss = }}\frac{{{\text{loss}}}}{{{\text{cost}}\,{\text{price}}}} \times 100\)

Example: Keerthi sold her old T.V at the cost of \(Rs. 10,000\) to the person, which she bought for \(Rs. 15,000.\) Find the loss or percentage? Here, S.P. \( = Rs. 10,000\) and C.P. \( = Rs. 15,000\). As \(\rm{S.P} > \rm{C.P}\) Keerthi got a profit, and the percentage loss is given by \(\% \,{\text{loss}} = \frac{{15000 – 10000}}{{15000}} \times 100 = 33.3\% \)
Word Problems on Percentage of Discount
We know that discount is the price reduced on the marked price of an item. It is equal to the difference between the marked price and the selling price. Discount percentage \( = \frac{{{\text{discount}}}}{{{\text{marked}\;\text{price}}}} \times 100\)
Example: Keerthi sold an item to a person at a discount of \(Rs. 5\), which is marked at \(Rs. 20\). Find the discount percentage? The discount percentage \( = \frac{5}{{20}} \times 100 = 25\% \)
Word Problems on Calculation of Marks Percentage
To find the percentage of marks secured by a student in an examination, we have to divide the total marks of the student (in all subjects) by the maximum marks and multiply it by \(100\). \({\text{Percentage}}\,{\text{marks}} = \frac{{{\text{marks}}\,{\text{obtained}}\,{\text{in}}\,{\text{all}}\,{\text{subjects}}}}{{{\text{maximum}}\,{\text{marks}}\,{\text{in}}\,{\text{all}}\,{\text{subjects}}}} \times 100\)
Example: Keerthi has got \(95\) out of \(100\) in Maths, \(85\) out of \(100\) in Physics, and \(75\) out of \(100\) in Chemistry. Find the overall percentage. The total marks secured by the Keerthi \( = \left( {95 + 85 + 75} \right) = 255\) Maximum marks is \(\left( {100 + 100 + 100} \right) = 300.\) Therefore, the percentage of marks obtained by the Keerthi is \(\left( {\frac{{255}}{{300}}} \right) \times 100\% = 85\% .\)
Word Problems on Percentage Errors
The percentage errors are used to know the calibration or manufacturing errors in the measuring instruments. Percentage error is the difference between the approximate value and actual value. \\({\rm{Percentage}}\,{\rm{error}} = \left\{ {\frac{{{\rm{approximate}}\,{\rm{or}}\,{\rm{observed}}\,{\rm{value}} – {\rm{exact}}\,{\rm{value}}}}{{{\rm{exact}}\,{\rm{or}}\,{\rm{actual}}\,{\rm{value}}}}} \right\} \times 100\)
Example: Keerthi measures the temperature of the room with an instrument. She observed the reading was \(22.35^\circ \rm{C}\), but the actual reading was \(22.25^\circ \rm{C}\). Find the percentage error. The percentage error \( = \frac{{22.35^\circ {\text{C}} – 22.25^\circ {\text{C}}}}{{22.25^\circ {\text{C}}}} \times 100 = 0.45\% \) (Approx)
Solved Examples – Word Problem on Percentage
Q.1. A class contains a total of \(50\) students. On a particular day, only \(14\%\) of the students are absent from the class. Find the number of students present in the class on that particular day. Ans: Given the total number of students in a class \(=50\) and \(14\%\) of students are absent from the class. So, the number of students absent for the class \(14\%\) of \(50 = 14 \times \frac{{50}}{{100}} = 7\) Students present in the class \(=\) total students \(-\) number of students absent \( = 50 – 7 =43\) Hence, there are \(43\) students present in the class.
Q.2. Keerthi has got \(99\) out of \(100\) in Aptitude, \(98\) out of \(100\) in general knowledge and \(100\) out of \(100\) in reasoning in a Public exam. Find the percentage of marks secured by the Keerthi in the Public exam. Ans: Total marks obtained by Keerthi \(98 + 99 + 100 = 297\) Maximum marks in the exam \(100 + 100 + 100 = 300\) The percentage of marks obtained by the Keerthi is given by the ratio of total marks obtained to the maximum marks of the exam, and that is multiplied by \(100.\) \( = \% \;{\text{marks}} = \frac{{297}}{{300}} \times 100 = 99\% \) Hence, the percentage of marks obtained by the Keerthi is \(99\% .\)
Q.3. In a plot, only \(4500\,\rm{sq.m}.\) is allowed for construction out of \(6000\,\rm{sq.m}.\) What is per cent of the plot to remain without construction? Ans: The total area of the plot \( = 6000\,\rm{sq.m}.\) The area allowed for the construction \( = 4500\,\rm{sq.m}.\) Thus, the area not allowed for the construction \( = 6000\,\rm{sq.m} – 4500\,\rm{sq.m} = 1500\,\rm{sq.m}.\) The percentage of the area of plot not allowed for the construction \( = \frac{{1500}}{{6000}} \times 100 = 25\% \) Therefore, \(25\%\) of the plot is not required for the construction.
Q.4. In a class, \(40\%\) of girls are there, in a total of \(50\) students. Find the number of girls and boys in the class. Ans: Given the total number of students \(= 50\) The percentage of girls in a class is \(40\%\) So, the number of girls in the class \( = 40\%\) of \(50 = 40 \times \frac{{50}}{{100}} = 20.\) The number of boys in the class is the difference of total students and the number of girls \( = 50 – 20 = 30\) Hence, the total number of boys and girls in the class are \(30,\;20\) respectively.
Q.5. According to sources, in a given year, it snowed \(13\) days. What is the percentage of days that year during which it snowed? (Assume non-leap year) Ans: We need to know that there is a total of \(365\) days in a year (assuming that it is a non-leap year). There are given \(13\) snowed days. The required percentage is given by \(\frac{{13}}{{365}} \times 100 = 3.5\% \) (approximately)

In this article, we have studied the definitions of percentage and the formulas of percentage. This article gives the word problems on percentages in various cases like percentage error, percentage increase, percentage decrease, profit or loss percentage, percentage of marks, etc. In this article, we have discussed the word problems on percentage with mathematical solutions that help us understand the concept and solve them easily.

Frequently Asked Questions (FAQs)- Word Problem on Percentage
Q.1. What is a word problem on percentage? Ans: A word problem on percentage consists of a few sentences describing a real-life scenario where a mathematical calculation of percentage must be used to solve a problem.
Q.2. How do you solve the word problem on percentage? Ans: Word problem on percentage can be solved by using the percentage formula: \(\frac{{{\text{actual}\;\text{number}}}}{{{\text{total}\;\text{number}}}} \times 100.\)
Q.3. How do you find the word problem on percentage errors? Ans: Word problem on percentage error can be calculated by using: \({\rm{Percentage}}\,{\rm{error}} = \left\{ {\frac{{{\rm{approximate}}\,{\rm{or}}\,{\rm{observed}}\,{\rm{value}} – {\rm{exact}}\,{\rm{value}}}}{{{\rm{exact}}\,{\rm{or}}\,{\rm{actual}}\,{\rm{value}}}}} \right\} \times 100\)
Q.4. How do you solve the word problem on percentage change? Ans: The word problem on percentage change can be done by using the formula: \({\text{percentage}}\,{\text{change}} = \left( {\frac{{{\text{new}}\,{\text{value}} – {\text{old}}\,{\text{value}}}}{{{\text{old}}\,{\text{value}}}}} \right) \times 100\)
Q.5. What is the percentage? Ans: The percentage defines the part per cent value (Hundred).
Learn How To Calculate Percentage Here
We hope this detailed article on Word Problem on Percentage helps you in your preparation. If you get stuck do let us know in the comments section below and we will get back to you at the earliest.
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Home > Math Worksheets > Word Problems > Percentage Word Problems
Students often have difficulty transitions in percentage changes. This is often rooted in the fact that students miss the concept on what a percentage change is. For example, if we were to ask students the question: if a value were to decrease by forty percent and then had a sixty percent gain, what would the overall percentage change. The answer is four percent, but students are lost when they are presented with this example. They need to be reminded that we are worried about the entire system when we are exploring percentage and the total change is what we are interested in determining. The problem is that students focus on the whole value number and not the meaning of a percentage. A percentage is based on the concept of one, meaning that one hundred percent is equal to one. Which means that when students see fifty percent, they need instead to see it as the decimal value 0.5.
In these worksheets, your students will solve word problems that involve calculating percentages. Students will solve real-world problems involving money, stock prices (percent change), discounts, etc. There are 35 worksheets in this set. The worksheets are broken down into sets focusing on specific topics, with 6 worksheets in each set. 3 additional worksheets are provided at the basic and intermediate skills levels. Students will solve word problems involving percentages. They will solve word problems involving percentage increments and decrements. Students may require extra paper to write and solve their equations. This set of worksheets contains lessons, step-by-step solutions to sample problems, and both simple and more complex problems. It also includes ample worksheets for students to practice independently. Most worksheets contain between eight and ten problems. When finished with this set of worksheets, students will be able to solve word problems that involve percentages. Students will practice calculating percentages by solving these word problems. Sample problems are solved and practice problems are provided.
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Percentage word problems worksheets, click the buttons to print each worksheet and answer key., more percent problems lesson.
Michael spent 34% of his monthly salary of $2,340 on himself and deposited $ 300 in bank. How many percent of his salary does he have left?

Lesson and Practice
An electronics store keeps track of consumer electronics prices each month and record the changes some of which are shown below. Complete the table.

The average ratio of doctors to population is 4:556. How many people is one doctor serving (on the average)?
The following table tracks the opening and closing of a stock's price. Calculate the missing details.
Eyck Caravaggio earns $4,600 every month. He gives 2/5 of his salary to his mother. Eyck uses 36% of the remaining amount to pay his bills. He also gives 4% of the remaining to his kids as allowance. How much does he have for himself?
How much was the total change in dollars?
Percent Lesson
Now, we add both values and you have new price.
If the total sale price of a pair of jeans is $50 and sales tax is 7%, find the purchase price of jeans
Students will solve word problems involving a percent of change. Ten problems are provided.
Percentage of Change Practice
Tom Chain, a used car dealer, sold 16400 cars in 2001. If Chain sold 15744 cars in 2002, by what percent did the number of cars sold decrease?
Change Drill
How much does tax eat into your total income.
A 60 member student committee is chosen to represent the whole student body of a college. If the committee members from various faculties need to be in the same ratio, as the members of students in different faculties.
Percent Increment and Decrement Lesson
Subtract the original amount from the final amount.
Subtract the final amount from the original amount.
The population of a city has increased from 18,000 to 22,400 over a period of 2 years. What is the percentage of increase?
Students will practice solving word problems involving percent increments and decrements. Ten problems are provided.
The value of my house has gone from $102,500 to worth $111,000. What is the percentage of increase of my house?
Warmups on Increment and Decrement
The number of participants in a competition is increased from 312 to 351. Find the percentage of increase.
Percent Word Problems Lesson
Martha gets 48 points on her examination. This amounts to 43% of the total points.
Danny just hired a new employee to work in your bakeshop. In one hour the employee burned 250 chocolate chip cookies. If this represented 21% of the day’s production, how many cookies did you plan on producing that day?
John needs 250 cookies for a buffet. He will make oatmeal raisin, macaroons, and chocolate chunk cookies. He wants 25% of the cookies to be meal raisin and 15% of the cookies to be macaroons. How many chocolate chunk cookies must John bake?
Review and Practice
Out of 1,560 students of a school only 28% passed. Find failures.
Tiffany Lowery got 65 referrals during the year. If 14% of these were for tardies. How many times did she get caught for being tardy? (She did not get caught every time).
Calculate 1.5% of 456 kg?
Basic Skills Worksheet
Peter gets 36 marks out of 50 in an exam. Calculate marks in percentage.
Basic Skills Practice
In a company, out of every 10 employees, 6 are males and 4 are females. Find the percentage of males and females in the company.
Intermediate Skills Worksheet
In a soccer match, 58% spectators are supporting team A and the rest are supporting team B. What is the total no. of spectators if no. of spectators supporting team B is 5691.
Intermediate Skills Practice
A store makes a 12% profit on the total sale it makes. If they make a profit of $30,450 on a particular day, what is the amount of sale they made on the day?
Intermediate Skills Drill
In a farm, the total Quantity of wheat produced increased by 20%. The price of wheat fell by 10% that year. What is the total increase in percentage in amount the farmer obtained by selling wheat?
Practicing with Percent Lesson
Kate pays 23% as tax. She saves 15% of what is left for future use. If her salary is $2,560, how much is left for her?
Order the apparels from highest to lowest by selling in percent.
Janice gets 140% of the normal $12.50 hourly pay as overtime. Calculate her total salary for a week, if she works 42 normal hours and 15 overtime hours.
A family's electricity bill is 30% of the family’s total earnings, but this month the bill was 14% more than the usual. If the family’s total earnings for a month is $12,500, what is the total bill for the given month?
McGuire saves 12% of his $4,510 salary. He pays 7% of remaining amount in bills. He spends 3% of his salary on himself and friends. Then he deposits the rest in the bank. How much does he deposit in the bank?
Arrange the batters in order from worst to best by batting average.
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Word Problems Involving Percent
Three Kinds of Percent Problems
Consider the statement " x percent of y is z ."
If any two of the variables are given, you can use algebra to find out the missing one. This results in three different kinds of problems. In each one, the unknown is in a different position.
problems where x is the unknown (e.g. "What percent of 44 is 11 ?")
problems where y is the unknown (e.g. " 58 is 25 % of what number?")
problems where z is the unknown (e.g. "What is 88 % of 5000 ?")
When given a word problem involving percents, then, the first job is to find out what the unknown is.
A concert hall has 400 seats, of which 325 are occupied. Express the attendance at a percent of capacity.
The question here can be stated as, "What percent of 400 is 325 ?" So, the unknown here is x .
Write a proportion.
325 400 = x 100
You could cross multiply. Or, you could notice that the denominator on the left is 4 times the denominator on the right.
So, to find x , just divide the numerator on the left by 4 .
x = 325 4 = 81.25
So, the hall is filled to 81.25 % capacity.
71 % of the earth's surface--that's about 362,100,000 square kilometers--is covered by water. Use this information to find the total surface area of the earth.
The question here can be stated as, " 71 % percent of what number is 362,100,000 ?" So, the unknown here is y .
362 , 100 , 000 y = 71 100
Cross multiply.
71 y = 36 , 210 , 000 , 000
Divide both sides by 71 .
y = 510 , 000 , 000
So, the earth's surface area is about 510,000,000 square kilometers.
The residents of a state were surveyed about their opinion of the public education system. 12 % said "Good", 54 % said "Bad", and the rest said "No opinion".
If 650 people were surveyed, how many said "No opinion"?
The total of the three percentages should be 100 . Find the percentage of people who said "No opinion."
12 + 54 + c = 100 66 + c = 100 c = 34
The question here can be stated as, "What is 34 % of 650 ?" So, the unknown here is z .
z 650 = 34 100
100 z = 22100 z = 221
So, 221 people said "No opinion".
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- \mathrm{Lauren's\:age\:is\:half\:of\:Joe's\:age.\:Emma\:is\:four\:years\:older\:than\:Joe.\:The\:sum\:of\:Lauren,\:Emma,\:and\:Joe's\:age\:is\:54.\:How\:old\:is\:Joe?}
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- \mathrm{Two\:men\:who\:are\:traveling\:in\:opposite\:directions\:at\:the\:rate\:of\:18\:and\:22\:mph\:respectively\:started\:at\:the\:same\:time\:at\:the\:same\:place.\:In\:how\:many\:hours\:will\:they\:be\:250\:apart?}
- \mathrm{If\:2\:tacos\:and\:3\:drinks\:cost\:12\:and\:3\:tacos\:and\:2\:drinks\:cost\:13\:how\:much\:does\:a\:taco\:cost?}
Frequently Asked Questions (FAQ)
How do you solve word problems.
- To solve word problems start by reading the problem carefully and understanding what it's asking. Try underlining or highlighting key information, such as numbers and key words that indicate what operation is needed to perform. Translate the problem into mathematical expressions or equations, and use the information and equations generated to solve for the answer.
How do you identify word problems in math?
- Word problems in math can be identified by the use of language that describes a situation or scenario. Word problems often use words and phrases which indicate that performing calculations is needed to find a solution. Additionally, word problems will often include specific information such as numbers, measurements, and units that needed to be used to solve the problem.
Is there a calculator that can solve word problems?
- Symbolab is the best calculator for solving a wide range of word problems, including age problems, distance problems, cost problems, investments problems, number problems, and percent problems.
What is an age problem?
- An age problem is a type of word problem in math that involves calculating the age of one or more people at a specific point in time. These problems often use phrases such as "x years ago," "in y years," or "y years later," which indicate that the problem is related to time and age.
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Now you can solve by helping the math app you can now solve the Math, when you need some help:). Helps in solving almost all the math equation but they still should add a function to help us solve word problem, i do wish you can see the steps for free but its still very helpful.
The equations need to be written clearly in order to be recognised, but you can always edit them with the calculator. This has improved my grades for math and probably always will.
Percentage Word Problems Calculator
The following percentage calculator will make it very easy to solve all your percentage word problems. Read your problem carefully and just enter the
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This Word Problems Worksheet will produce problems that focus on finding and working with percentages. You have the option to select the types of numbers
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Percent: Word Problems

7.RP.A.1 7th Grade Word Problem Involving Percent
NAME: 1. Find the percent of change, rounded to the nearest whole percent. Describe the change as an increase or decrease. $6.25/h to $6.75/h.
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Children often struggle with percentages. Mastery of percentages necessitates familiarity with various subtopics and mathematical concepts. With percentages word problems worksheets, you can quickly help your kids learn every aspect of percentages.
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Percentage Word Problems Worksheets

Percent Word Problems Worksheets PDF

Percentage Word Problems Worksheet

6Th Grade Percent Word Problems Worksheet

Percentage Word Problems Worksheets Grade 6

Multi Step Percentage Word Problems Worksheet
Free Percent Word Problems Worksheets with Answers
Brighterly’s percent word problems worksheets make learning percentages an exciting, in-depth, and realistic experience as the concept may be challenging to grasp when presented abstractly. Among other problems, worksheets include questions on determining if a given number represents an increase or reduction in percentage.
Solving the questions in the worksheet involves reading, comprehension, and the ability to apply the appropriate formula. A printed version of the materials and the corresponding answer key are provided so that students may verify their work immediately.
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The interactive percentage word problems worksheet with answers from Brighterly uses visual simulations to ensure that studying is even more interesting. The colorful graphics in the worksheets capture kids’ attention, ensuring they focus. Worksheets are arranged by top professionals with experience in educating kids, so you can rest assured that a worksheet will suit your kids.
Percentage word problems worksheets are set to meet the needs of students in various grades. For instance, grade six percentage worksheets are more complex than grade three resources. Also, questions in worksheets come in differing levels of difficulty.
The beginning parts are often the easiest; this stepwise arrangement makes comprehension easier. Through continuous use, the worksheets from Brighterly develop kids’ self-confidence and time management skills. Also, children develop critical thinking and problem-solving abilities.
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Printable percentage word problem worksheets are available on the Brighterly’s website. This resource helps your kids learn independently. Furthermore, they ensure that kids repeatedly study, which leads to mastery.
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The problems involve finding the percentage of numbers and amounts, as well as finding the amounts when the percentage is given. 6th Grade Percent Word Problems Percentage of Money Amounts Often when we are studying percentages, we look at them in the context of money.
Rates and percentages > Percent word problems Percent word problems CCSS.Math: 6.RP.A.3, 6.RP.A.3c Google Classroom 2\% 2% of the students at Hamilton Middle School have red hair. There are 700 700 students at Hamilton Middle School. How many students at Hamilton Middle School have red hair? people Stuck?
Percent word problem: guavas Discount, markup, and commission word problems Math > 7th grade > Fractions, decimals, & percentages > Percent word problems Percent problems CCSS.Math: 7.RP.A.3 Google Classroom A brand of cereal had 1.2 1.2 milligrams (\text {mg}) (mg) of iron per serving.
Percent Word Problems Handout Revised @2009 MLC page 3 of 8 Percent Word Problems Directions: Set up a basic percent problem. Sometimes you will have to do extra steps to solve the problem. Follow rounding directions. Answers and solutions start on page 6. 1) A student earned a grade of 80% on a math test that had 20 problems.
There are three different types of percentage word problems. We will show how to solve them using proportions. What is 80% of 20? ( example #1) 50 is 25% of what number? ( example #2) 18 is what percent of 24? What percent of 2000 is 3500? ( example #3 and example #4) Solving percentage word problems using proportions
Calculating Percentage Word Problems | Worksheet #1 Remind students that they must divide the 'part' by 'whole' and multiply it by 100. Take an eventful trip to the world of percentages and boast superior skills at finding percents! Calculating Percentage Word Problems | Worksheet #2 There are 6 blue flowers in a bouquet of 14 flowers.
The word percentage means 100 percent. For example, 10 percent means 10 out of 100. This can be written as 10 or 10% or as a fraction of 10/100, or as a decimal such as .10. It can look at numbers written in different formats and choose them as potential percentages can help students prepare for tests. Benefits of Percentage Word Problem Worksheets
Solve Percent Problems Using a Tape Diagram (Bar Diagram) Example: a) If $300 is increased by 25% what is the new amount? b) What is 19% of 120? c) Joe went to an athletic store to purchase new running shoes. To his surprise, the store was having a 20% off athletic shoes sale. He purchased a new pair of shoes that were regularly priced $60.
The percent word problems worksheets give students the chance to work through a wide range of issues, assisting them in laying a solid mathematical foundation. It also aids children in developing their speed, accuracy, logical thinking, and reasoning abilities when performing basic calculations relating to the topic of percent.
Percent word problems (practice) Word Problems on Percentage 1. In a class 60% of the students are girls. 2. Emma scores 72 marks out of 80 in her English exam. 3. Mason was able to sell 35%.
Percentage of Correct Answers = 25/40*100 = 2500/40 = 62.5% Therefore, David got 62.5% of correct answers. 4. There are 45 Carpenters in a Crew. On a certain day, 27 were present. What Percent showed up for work? Solution: Percentage of Carpenters Showed up for work = (27/45)*100 = 2700/45 = 60% Therefore, 60% of Carpenters Showed up for Work. 5.
SmartScore. out of 100. IXL's SmartScore is a dynamic measure of progress towards mastery, rather than a percentage grade. It tracks your skill level as you tackle progressively more difficult questions. Consistently answer questions correctly to reach excellence (90), or conquer the Challenge Zone to achieve mastery (100)!
Percentage Word Problems Worksheets This Word Problems Worksheet will produce problems that focus on finding and working with percentages. You have the option to select the types of numbers 367 PhD Experts 9.8/10 Quality score 94350+ Clients Get Homework Help
Grade 5 Percentages Word Problems. What percentage of the students in my school has brown eyes? Question 2. Lucky won 500$ in a lottery. She used 25% to buy candies and saved the rest.
Many percentage problems are really "two-part-ers" like this: they involve some kind of increase or decrease relative to some original value. Note : Always figure the percentage of change of increase or decrease relative to the original value. Affiliate
STEP 1: Change the percentage to a decimal. Remove the % sign from the 20% and drop a period in front of the 20 so we have .20. We are allowed to do this because when we are finding percents, we are really multiplying a decimal number against another number.
Word problems on percentage: 1. In an exam Ashley secured 332 marks. If she secured 83 % makes, find the maximum marks. Solution: Let the maximum marks be m. Ashley's marks = 83% of m Ashley secured 332 marks Therefore, 83% of m = 332 ⇒ 83/100 × m = 332 ⇒ m = (332 × 100)/83 ⇒ m =33200/83 ⇒ m = 400 Therefore, Ashley got 332 marks out of 400 marks.
A word problem on percentage consists of a few sentences describing a real-life scenario where a mathematical calculation of percentage must be used to solve a problem. Word problem on percentage tells the applications of percentage in our daily life. The various types of word problems on percentage are listed below:
Percentage Word Problems Worksheets Click the buttons to print each worksheet and answer key. More Percent Problems Lesson Michael spent 34% of his monthly salary of $2,340 on himself and deposited $ 300 in bank. How many percent of his salary does he have left? Lesson and Practice
When given a word problem involving percents, then, the first job is to find out what the unknown is. Example 1: A concert hall has 400 seats, of which 325 are occupied. Express the attendance at a percent of capacity. The question here can be stated as, "What percent of 400 is 325 ?"
In this lesson, we will work through two percentage word problems to give you more experience solving multi-step problems with percentages. 1. Deal with math problems. Math is all about solving equations and finding the right answer. 2. Clarify math problem To solve a math problem, you need to first clarify what the problem is asking. ...
Is there a calculator that can solve word problems? Symbolab is the best calculator for solving a wide range of word problems, including age problems, distance problems, cost problems, investments problems, number problems, and percent problems. What is an age problem? An age problem is a type of word problem in math that involves calculating ...
The following percentage calculator will make it very easy to solve all your percentage word problems. Read your problem carefully and just enter the order now. Calculate percentages with Step. In this lesson, we will work through two percentage word problems to give you more experience solving multi-step problems with percentages.
Welcome to our Percentage Word Problems. In this area, we have a selection of percentage problem worksheets for 5th grade designed to help children learn to Explain mathematic problem. Math is the study of numbers, shapes, and patterns. Get support from expert teachers. Solving math equations can be challenging, but it's also a great way to ...
Brighterly's percent word problems worksheets make learning percentages an exciting, in-depth, and realistic experience as the concept may be challenging to grasp when presented abstractly. Among other problems, worksheets include questions on determining if a given number represents an increase or reduction in percentage.
Ashley's Math Class Pass. $1.50. Zip. 1 page document reviewing 3 different ways that percentages are used in everyday life (sales/clearances, tax, and tip/gratuity). Each section includes an example to be reviewed by the teacher and a problem for students to try.Editable word document, PDF, and solutions included.
First, the word percent just means per hundred. If you have 100 nails, 50% of that is 50 nails. If you have 8 paint brushes, 50% is 4 brushes. To figure this out, we can set up a simple equation ...