how to solve sales tax rate math problems

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6.3: Solve Sales Tax, Commission, and Discount Applications

Learning Objectives

be prepared!

Before you get started, take this readiness quiz.

Solve 0.0875(720) through multiplication. If you missed this problem, review Example 5.3.7 .
Solve 12.96 ÷ 0.04 through division. If you missed this problem, review Example 5.4.12 .

Solve Sales Tax Applications

Sales tax and commissions are applications of percent in our everyday lives. To solve these applications, we will follow the same strategy we used in the section on decimal operations. We show it again here for easy reference.

HOW TO: Solve an application

Remember that whatever the application, once we write the sentence with the given information (Step 2), we can translate it to a percent equation and then solve it.

Do you pay a tax when you shop in your city or state? In many parts of the United States, sales tax is added to the purchase price of an item. See Figure $\PageIndex{1}$. The sales tax is determined by computing a percent of the purchase price.

To find the sales tax multiply the purchase price by the sales tax rate. Remember to convert the sales tax rate from a percent to a decimal number. Once the sales tax is calculated, it is added to the purchase price. The result is the total cost—this is what the customer pays.

$The figure shows a restaurant check with sales tax$

Figure $\PageIndex{1}$ - The sales tax is calculated as a percent of the purchase price.

Definition: sales tax

The sales tax is a percent of the purchase price.

Sales Tax = Tax Rate • Purchase Price

Total Cost = Purchase Price + Sales Tax

Example $\PageIndex{1}$:

Cathy bought a bicycle in Washington, where the sales tax rate was 6.5% of the purchase price. What was (a) the sales tax and (b) the total cost of a bicycle if the purchase price of the bicycle was $392?

Exercise $\PageIndex{1}$:

Find (a) the sales tax and (b) the total cost: Alexandra bought a television set for $724 in Boston, where the sales tax rate was 6.25% of the purchase price.

Exercise $\PageIndex{2}$:

Find (a) the sales tax and (b) the total cost: Kim bought a winter coat for $250 in St. Louis, where the sales tax rate was 8.2% of the purchase price.

Example $\PageIndex{2}$:

Evelyn bought a new smartphone for $499 plus tax. She was surprised when she got the receipt and saw that the tax was $42.42. What was the sales tax rate for this purchase?

Exercise $\PageIndex{3}$:

Diego bought a new car for $26,525. He was surprised that the dealer then added $2,387.25. What was the sales tax rate for this purchase?

Exercise $\PageIndex{4}$:

What is the sales tax rate if a $7,594 purchase will have $569.55 of sales tax added to it?

Solve Commission Applications

Sales people often receive a commission , or percent of total sales, for their sales. Their income may be just the commission they earn, or it may be their commission added to their hourly wages or salary. The commission they earn is calculated as a certain percent of the price of each item they sell. That percent is called the rate of commission .

Definition: commission

A commission is a percentage of total sales as determined by the rate of commission.

commission = rate of commission • total sales

To find the commission on a sale, multiply the rate of commission by the total sales. Just as we did for computing sales tax, remember to first convert the rate of commission from a percent to a decimal.

Example $\PageIndex{3}$:

Helene is a realtor. She receives 3% commission when she sells a house. How much commission will she receive for selling a house that costs $260,000?

Exercise $\PageIndex{5}$:

Bob is a travel agent. He receives 7% commission when he books a cruise for a customer. How much commission will he receive for booking a $3,900 cruise?

Exercise $\PageIndex{6}$:

Fernando receives 18% commission when he makes a computer sale. How much commission will he receive for selling a computer for $2,190?

Example $\PageIndex{4}$:

Rikki earned $87 commission when she sold a $1,450 stove. What rate of commission did she get?

Exercise $\PageIndex{7}$:

Homer received $1,140 commission when he sold a car for $28,500. What rate of commission did he get?

Exercise $\PageIndex{8}$:

Bernice earned $451 commission when she sold an $8,200 living room set. What rate of commission did she get?

Solve Discount Applications

Applications of discount are very common in retail settings Figure 6.8. When you buy an item on sale, the original price of the item has been reduced by some dollar amount. The discount rate , usually given as a percent, is used to determine the amount of the discount. To determine the amount of discount , we multiply the discount rate by the original price. We summarize the discount model in the box below.

$The figure shows a sale sign with a discount rate$

Figure 6.8 - Applications of discounts are common in everyday life. (credit: Charleston's TheDigitel, Flickr)

Definition: discount

An amount of discount is a percent off the original price.

amount of discount = discount rate • original price

sale price = original price − discount

The sale price should always be less than the original price. In some cases, the amount of discount is a fixed dollar amount. Then we just find the sale price by subtracting the amount of discount from the original price.

Example $\PageIndex{5}$:

Jason bought a pair of sunglasses that were on sale for $10 off. The original price of the sunglasses was $39. What was the sale price of the sunglasses?

Exercise $\PageIndex{9}$:

Marta bought a dishwasher that was on sale for $75 off. The original price of the dishwasher was $525. What was the sale price of the dishwasher?

Exercise $\PageIndex{10}$:

Orlando bought a pair of shoes that was on sale for $30 off. The original price of the shoes was $112. What was the sale price of the shoes?

In Example 6.29, the amount of discount was a set amount, $10. In Example 6.30 the discount is given as a percent of the original price.

Example $\PageIndex{6}$:

Elise bought a dress that was discounted 35% off of the original price of $140. What was (a) the amount of discount and (b) the sale price of the dress?

(a) Before beginning, you may find it helpful to organize the information in a list. Original price = $140, Discount rate = 35%, Amount of discount = ?

(b) Original price = $140, Amount of discount = $49, Sale price = ?

Exercise $\PageIndex{11}$:

Find (a) the amount of discount and (b) the sale price: Sergio bought a belt that was discounted 40% from an original price of $29.

Exercise $\PageIndex{12}$:

Find (a) the amount of discount and (b) the sale price: Oscar bought a barbecue grill that was discounted 65% from an original price of

There may be times when you buy something on sale and want to know the discount rate. The next example will show this case.

Example $\PageIndex{7}$:

Jeannette bought a swimsuit at a sale price of $13.95. The original price of the swimsuit was $31. Find the (a) amount of discount and (b) discount rate.

(a) Before beginning, you may find it helpful to organize the information in a list. Original price = $31, Amount of discount = ?, Sale price = $13.95

(b) Before beginning, you may find it helpful to organize the information in a list. Original price = $31, Amount of discount = $17.05, Discount rate = ?

Exercise $\PageIndex{13}$:

Find (a) the amount of discount and (b) the discount rate: Lena bought a kitchen table at the sale price of $375.20. The original price of the table was $560.

Exercise $\PageIndex{14}$:

Find (a) the amount of discount and (b) the discount rate: Nick bought a multi-room air conditioner at a sale price of $340. The original price of the air conditioner was $400.

Solve Mark-up Applications

Applications of mark-up are very common in retail settings. The price a retailer pays for an item is called the wholesale price . The retailer then adds a mark-up to the wholesale price to get the list price , the price he sells the item for. The mark-up is usually calculated as a percent of the wholesale price. The percent is called the mark-up rate . To determine the amount of mark-up, multiply the mark-up rate by the wholesale price. We summarize the mark-up model in the box below.

Definition: mark-up

The mark-up is the amount added to the wholesale price.

amount of mark-up = mark-up rate • wholesale price

list price = wholesale price + mark up

The list price should always be more than the wholesale price.

Example $\PageIndex{8}$:

Adam's art gallery bought a photograph at the wholesale price of $250. Adam marked the price up 40%. Find the (a) amount of mark-up and (b) the list price of the photograph.

Exercise $\PageIndex{15}$:

Jim's music store bought a guitar at wholesale price $1,200. Jim marked the price up 50%. Find the (a) amount of mark-up and (b) the list price.

Exercise $\PageIndex{16}$:

The Auto Resale Store bought Pablo's Toyota for $8,500. They marked the price up 35%. Find the (a) amount of mark-up and (b) the list price.

Practice Makes Perfect

In the following exercises, find (a) the sales tax and (b) the total cost.

In the following exercises, find the sales tax rate.

In the following exercises, find the commission.

In the following exercises, find the rate of commission.

In the following exercises, find the sale price.

In the following exercises, find (a) the amount of discount and (b) the sale price.

In the following exercises, find (a) the amount of discount and (b) the discount rate. (Round to the nearest tenth of a percent if needed.)

In the following exercises, find (a) the amount of the mark-up and (b) the list price.

Everyday Math

Writing Exercises

(a) After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.

$CNX_BMath_Figure_AppB_037.jpg$

(b) What does this checklist tell you about your mastery of this section? What steps will you take to improve?

Contributors and Attributions

Lynn Marecek (Santa Ana College) and MaryAnne Anthony-Smith (Formerly of Santa Ana College). This content is licensed under Creative Commons Attribution License v4.0 "Download for free at http://cnx.org/contents/[email protected] ."

Sales Tax Worksheets

There's nothing too taxing about our printable sales tax worksheets! Teeming with exercises like finding the sales tax, calculating the original price, and solving sales tax word problems, our resources have stupendous practice in store for students in grade 6, grade 7, and grade 8. The pdf tools also let them get used to percent application through receipts and discounts. Help them excel in sales tax using our free worksheets and prepare to face the world head-on!

Finding Sales Tax

When you buy an item that is taxed, not only do you pay the cost of the item, you also pay the sales tax. Find the sales tax and calculate the total cost of the items using these 3-part printable worksheets!

Finding the Original Price

If the sale price is $460 and the sales tax rate is 4%, what is the original price? All there's to do is to substitute the values in the appropriate formula and proceed to solve for the missing values.

Finding Sales Tax | Word Problems

The 6th grade and 7th grade students are sure to love our sales tax word problems! Find the sales tax amount, given the tax percent. Also calculate the total amount in scenarios dedicated to sales taxes.

Finding the Original Price | Word Problems

Get a thorough practice in finding the original price using the selling price and tax percent. Our refreshing word problems are bursting with scenarios where the task is to find the original price.

Complete the sales receipts in these pdf sales tax worksheets by filling the purchase prices, given the sales tax rate, original prices, and the quantity. Fill in the total amount after adding the sales tax of each item.

Discount Worksheets

What buying heart can discount despise? Customers, including the ones in the 7th grade and 8th grade, crave for discounts! Abounding in bargains, our printable worksheets help calculate price reductions.

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How to solve sales tax rate math problems

In this blog post, we will take a look at How to solve sales tax rate math problems.

How to calculate sales tax

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Solving Sales Tax Applications

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6.3: Solve Sales Tax, Commission, and Discount Applications

Translate into an equation. (Remember to change the percent to a decimal). . Simplify. . Check: Is this answer reasonable? Yes, because the sales tax amount

SAT Math : How to find the amount of sales tax

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Unit 3: Lesson 3

Tax and tip word problems

How to solve sales tax rate math problems

How to Calculate Sales Tax Find list price and tax percentage Divide tax percentage by 100 to get tax rate as a decimal Multiply list price by decimal tax

Translate into an equation. (Remember to change the percent to a decimal). . Simplify. . Check: Is this answer reasonable? Yes, because the sales tax amount

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6.3: Solve Sales Tax, Commission, and Discount Applications

Sales tax calculator.

To find the amount of sales tax, take the difference in the total before and after tax \displaystyle (138.24-128) and divide by the price before tax. This gives

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How to calculate sales tax

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How to Calculate Sales Tax

To calculate sales tax of an item, simply multiply the cost of the item by the tax rate. Sales tax. Exercises # 1: You buy a car for 20,000 dollars and pay 5%

Solving Sales Tax Applications

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How to Find Discount, Tax, and Tip? (+FREE Worksheet!)

Learn how to use the percent formula to solve Discount, Tax, and Tip problems in a few simple and easy steps.

Step by step guide to solve Discount, Tax, and Tip problems

Discount, Tax and Tip – Example 1:

With a $20\%$ discount, Ella was able to save $$40$ on a dress. What was the original price of the dress?

$20\%$ of $x= 40, \frac{20}{100} \ × \ x=40, x=\frac{100 \ × \ 40}{ 20}=200 $

The original price of the dress was $$200$.

Discount, Tax and Tip – Example 2:

Sophia purchased a sofa for $$340.00$. The sofa is regularly priced at $$400.00$. What was the percent discount Sophia received on the sofa?

Use this formula: $\color{ blue }{ percent = Part ÷ base }$. $=340 \ ÷ \ 400=0.85=85\%$ Therefore, the discount is: $100\% \ – \ 85\%=15\%$

Discount, Tax, and Tip – Example 3:

Ella and her friends went out to eat at a restaurant. If their bill was $$60.00$ and they gave their server a $15\%$ tip, how much did they pay altogether?

The tip was $15\%$. To solve $15\%$ of $60$ use this formula: $\color{ blue }{part =\frac{percent}{100} \ × \ whole }$. $part =\frac{15}{100} \ × \ 60 →$ $part=\frac{15 \ × \ 60}{100}→$ $part=\frac{90}{10}→$ $part$ $=9 $

The final amount they paid: $$60.00$ $+$ $$9.00$ = $$69.00$

Discount, Tax and Tip – Example 4:

The selling price of a table is $$400$ and the tax rate is $6\%$ . What is the final price of the table?

Find tax amount: $6\%$ of $400$

To solve $6\%$ of $400$ use this formula: $\color{ blue }{part =\frac{percent}{100} \ × \ whole }$. $part$ $=\frac{6}{100} \ × \ 400 →$ $part$ $=\frac{6 \ × \ 400}{100}→$ $part=\frac{240}{10}→$ $part=24 $

The final price of the table is: $$400$ $+$ $$24$ = $$424$

Exercises for Solving Discount, Tax and Tip

Find the selling price of each item..

Download Discount, Tax and Tip Worksheet

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What people say about "How to Find Discount, Tax, and Tip? (+FREE Worksheet!)"?

Lane Kline – 3 years ago

One of your answers is wrong I believe, the dress was originally $200, not $20.

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SAT Math : How to find the amount of sales tax

Study concepts, example questions & explanations for sat math, all sat math resources, example questions, example question #1 : sales tax.

If there is a 10% sale on an item, and then 9% sales tax is applied to that after-sale price, then what is the total cost of the item including tax as a percentage of its pre-sale sticker price?

A 10% sale means that the post-sale price of the item is now 90%, or 0.9 of the original cost of the item. We then apply 9% sales tax by multiplying the 0.9 by 109%, or 1.09. 0.9 * 1.09 = .981, so the total cost of the item is 98.1% of the original pre-sale sticker price.

For percentage problems that do not deal with a specific starting number, it is always helpful to plug in 100 for the starting number. Here, we would then have a post-sale price of 90 dollars, and if we calculate the sales tax for the 90-dollar item it would be 90 * 0.09 = $8.10. THis gives us a total cost of 90 + 8.10 = $98.10, or 98.1% of the original 100-dollar price.

Example Question #2 : Sales Tax

Cynthia buys 2 shirts, each costing $35, a pair of pants for $40 and a belt for $18. At the register the total she owes is $138.24. What is the rate of sales tax in her state?

$how to solve sales tax rate math problems$

Example Question #3 : Sales Tax

A certain state charges sales tax at a rate of 8.75% per dollar spent. John spends $127.50 total, including tax, on clothes. What was the total price of the clothing before tax was added?

$how to solve sales tax rate math problems$

Since we know the total price with tax, we simply need to work backwards to remove the tax from the total price and find the price of the clothing itself. This can be done as follows:

Clothing Price or C = Total price / 1 + tax rate

C = $127.50/(1 + 0.0875) = $117.24

Example Question #4 : Sales Tax

$\$ 42.87$

We will add the two together

$\$42.87+\$36.19= \$79.06$

Example Question #5 : Sales Tax

Harry, on his first lunch date with Sally, decides to put the entire bill on his credit card. If the bill came to $28 and Harry wants to leave an 18% tip, what is the total amount that he should pay?

$how to solve sales tax rate math problems$

To find an 18% increase, multiply by 1.18.

$how to solve sales tax rate math problems$

Example Question #1 : How To Find The Amount Of Sales Tax

Lisa just bought a desktop computer. The computer cost $1500, the keyboard cost $100, and the mouse cost $25. If the local sales tax is 7%, what was the total cost of her purchases?

$\dpi{100} \small \$ 1625$

Example Question #7 : Sales Tax

Mike spent $30 on food and $50 on non-food products in the supermarket. There's a sales tax of 10% on non-food products only. How much did Mike spend in total at the supermarket?

$\$90$

Since sales tax is only applicable to non-food products only, we can multiply 50 by 1.1 to get the total price of non-food products. In this case, it is $55. Add this value to the $30 spent on food for a total of $85.

Example Question #8 : Sales Tax

$how to solve sales tax rate math problems$

The amount paid in sales tax is determined by multiplying the decimal value of the tax rate by the sticker price of the car:

$how to solve sales tax rate math problems$

Example Question #9 : Sales Tax

Jenny buys a blouse that is priced at $45. She pays a total of $48.15, what is the rate of tax on the blouse?

$how to solve sales tax rate math problems$

The purpose of this question is to calculate tax rates using dollar amounts.

First, the amount of tax payed must be determined. This is done by finding the difference between the amount paid and the listed price

$how to solve sales tax rate math problems$

which equals $3.15.

Then, that must be translated into a percentage of $45.

$how to solve sales tax rate math problems$

Example Question #10 : Sales Tax

$how to solve sales tax rate math problems$

In order to answer this question, we need to set up an equation such that we are adding the cost of the shirt with some percentage of the shirt's cost that will equal the final price.

A percentage is some value out of 100 parts.

$how to solve sales tax rate math problems$

Subtract 2 from both sides and eliminate the dollar signs.

$how to solve sales tax rate math problems$

Reduce the left hand side of the equation.

$how to solve sales tax rate math problems$

Multiply by 50 on both sides.

$how to solve sales tax rate math problems$

This number is the percentage sales tax that was applied to the shirt.

$how to solve sales tax rate math problems$

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How to solve math problems with sales tax

1.Multiply the cost of an item or service by the sales tax in order to find out the total cost. The equation looks like this: Item or service cost x sales tax

Clarify math

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Determine math

How to calculate sales tax

Solve the equation using good algebra techniques. Step 5. Check the answer in the problem and make sure it makes sense. Step 6. Write a complete

4 Ways to Calculate Sales Tax

How to Calculate Sales Tax Multiply the price of your item or service by the tax rate. If you have tax rate as a percentage, divide that number by 100 to get

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Learn How To Determine Sales Tax With Step By Step Problems And Solutions. Use the Interactive Exercises to Assess Your Understanding.

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Percent word problems: tax and discount

6.3: solve sales tax, commission, and discount applications.

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How to solve sales tax rate math problems

How to Calculate Sales Tax Find list price and tax percentage Divide tax percentage by 100 to get tax rate as a decimal Multiply list price by decimal tax

6.3: Solve Sales Tax, Commission, and Discount Applications

Percent word problems: tax and discount

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Sales Tax Calculator

To calculate sales tax of an item, simply multiply the cost of the item by the tax rate. Sales tax. Exercises # 1: You buy a car for 20,000 dollars and pay 5%

Percent Problems involving Taxes

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In mathematics, the tax calculation is related to the selling price and income of taxpayers. It is a charge imposed by the government on the citizens for the collection of funds for public welfare and expenditure activities. There are two types of taxes: direct tax and indirect tax. In this lesson, we will study the tax computation when the selling price or price before tax is given. We calculate tax on a product by multiplying the tax rate with the product's net selling price.

Tax amount = $$(S.P. \times \dfrac{Tax\ rate}{100})$

What Are Taxes?

Tax is the amount paid by the people to the government for goods and services provided. In any tax transaction, there are two parties involved - a taxpayer and a tax collector. A taxpayer is a person or an organization who is paying the tax to the government. A tax collector is a government or any middleman collecting tax on behalf of the government.

The first known tax transaction took place around 3000–2800 BC in Ancient Egypt. In India, taxes were introduced in 1860 by Sir James Wilson to meet the Government's losses based on the Military Mutiny of 1857. Taxes have generally been around since the beginning of civilization or history. While the Civil War led to the creation of the first income tax in the U.S., the federal income tax as we know it was officially enacted in 1913. You may have heard terms like income tax, value-added tax, service tax, etc. The formula used to calculate tax on the selling price is given below:

Let's consider an example. Let’s say an item costs $50, and a sales tax of 5% was charged. What would be the bill amount?

Let’s first find 5% of 50.

5/100×50 = 2.5

Now let’s add this amount to the cost price, $50+ $2.5 = $52.5. The total bill amount, including taxes, would be $52.5

When the tax amount and the selling price (S.P.) of an item are given, and we have to calculate the tax rate, then we can use the following formula:

Tax rate = $\dfrac{Tax\ amount}{Price\ before\ tax}\times 100\%$

Consider the following example. You purchase a mobile phone whose price before tax is $200, and the tax paid on it is $20. Then, the rate of tax paid on that mobile can be calculated by using the above formula.

Tax rate = (Tax amount/Price before tax) × 100

Tax rate = ($20/$200) × 100

Tax rate = 10%

Let’s now try and understand how taxes are levied on a discounted product.

Consider the following scenario. You have ordered a pizza at a restaurant, and it costs $12. The restaurant is offering a discount of 30% on all dine-in orders. Hence, assuming the restaurant only charges 10% service tax, the final amount is calculated in the following way. First, calculate the discounted price. Discount = 30/100 × 12 = $3.6

Final Bill Amount = $12 - $3.6 = $8.4

Remember, the tax is charged at a discounted price. We know that 10% service tax was charged on the final amount.

10/100 × 8.4 = $0.84

Final Amount = $8.4 + $0.84 = $9.24

Different Types of Taxes

There are two types of taxes. They are direct and indirect taxes. Taxes paid by the citizens directly to the government are direct taxes. For example, income tax, corporate tax, etc., are categorized as direct taxes. Taxes paid by the people but not directly collected by the government are indirect taxes. For example, sales tax, entertainment tax, excise duty, etc., are categorized as indirect taxes.

Indirect taxes are collected by the people who sell goods or services. These include shop owners and business people, who then further pay the indirect tax to the government. Indirect tax can be passed from one entity to another.

Tax on Marked Price

We calculate tax on the marked price when the seller sells an item at the marked price without any discount. In that case, the marked price and the selling price are the same. Thus, tax is calculated on the marked price. For example, if the marked price on a chair is $1200 and 8% tax is to be paid to the shopkeeper, then the amount of tax to be paid to the shopkeeper can be calculated as:

Tax amount = ${M.P. × (Tax rate/100)}

= ${1200 × (8/100)}

= $(12 × 8)

= $96

Therefore, We need to pay $96 as a tax on the chair's purchase at a marked price of $1200.

Always remember that only when the final selling price is the same as the marked price of the item purchased, we calculate tax on the marked price. Otherwise, we calculate tax on the net amount that the customer is paying to buy a product or a service.

Important Notes

Challenging Question on Taxes

Now let's try to solve this challenging question related to taxes.

Which brand of bag is charging more tax?

Solved Examples on Taxes

Example 1: Find the tax paid by Bob for a chair if the chair's selling price is $7, the list price is $10, and the tax rate is 6%?

Given that list price = $10, selling price = $7 and tax rate = 6%. We always calculate tax on the selling price. Thus, the tax paid by Bob for the chair is: Tax amount = ${S.P. × (Tax rate/100) = ${7 × (6/100) = $0.42. Therefore, Bob needs to pay $0.42 tax on the purchase of a chair.

Example 2: Daniel paid $25 for a T-shirt at a sale, while the price tag was $20. Find the tax rate in percentage.

Before finding the tax rate, we will find the tax amount. We know that the price before tax = $20. Final price= $25. Therefore, Tax amount = Final price - Price before tax = $25 - $20 = $5. We will calculate the tax rate using the below formula: Tax rate = (Tax amount/Price before tax) × 100% = 5/20 × 100% = 25%. Therefore, Tax rate is 25% on the T-shirt.

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how to solve sales tax rate math problems

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Practice Questions on Taxes

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FAQs on Taxes

How to calculate tax on a product.

To calculate tax on a product, we multiply the tax rate by its net selling price. Tax amount = ${S.P. × (Tax rate/100)

The amount paid by the people to the government for goods and services provided is called tax which is further utilized by the government for public welfare activities.

What Is the Difference Between Cost Price and Selling Price?

Cost price is when an article is purchased, and selling price is when an article is sold.

What Is the Meaning of Marked Price?

Marked price is the price set by the shopkeeper on the label of the article. It is set by adding the profit margin to the cost price of the article.

What Is the Formula to Calculate the Rate of Tax on a Product?

The formula to calculate the rate of tax is given below:

Tax rate = (Tax amount/Price before tax) × 100%

What Are the Different Types of Taxes?

There are two types of taxes: direct tax and indirect tax.

What Is a Direct Tax?

Direct tax refers to the tax directly paid to the government by the customer. Examples of direct taxes include income tax, corporate tax, wealth tax, etc.

How to solve tax rate math problems

In this blog post, we will take a look at How to solve tax rate math problems.

Solving Problems Involving Taxes, Commissions, and Fees

To find the amount of sales tax, take the difference in the total before and after tax \displaystyle (138.24-128) and divide by the price before tax. This gives

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6.3: Solve Sales Tax, Commission, and Discount Applications

How do you solve sales tax math problems.

The tax rate formula that you want to know is: P + (rP) = T For example, Let us use a tax rate of 8%. P + . So, If the price of the item is $15, the total

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SAT Math : How to find the amount of sales tax

To calculate sales tax of an item, simply multiply the cost of the item by the tax rate. Sales tax. Exercises # 1: You buy a car for 20,000 dollars and pay 5%

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Clarify mathematic problem

Solve math tasks

How To : Calculate sales tax in algebra

In this math lesson we will learn how to solve math problems involving sales tax.

Remember these two important formulas:

Final price = price before tax + sales tax

Sales tax = sales tax rate x price before tax

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Sales Tax Calculator

Calculator Use

Calculate sales tax and total price given your state sales tax rate. Enter item price and tax rate percentage to find sales tax and total price.

What is Sales Tax?

Sales tax is a tax on the sale of goods and services. In the US and the District of Columbia all states except Alaska, Delaware, Montana, New Hampshire and Oregon impose a state sales tax when you buy items or pay for services. Alaska however does allow localities to charge local sales taxes as do many other states.

Some states do not charge sales tax on specific categories of items. In Massachusetts for example sales tax is not charged on regular grocery items. Also many states have additional tax surcharges. In the hospitality industry it is common for restaurants and hotels to charge a tax rate higher than the state sales tax rate. Check with your state and locality for expected sales tax rates and potential tax surcharge rates.

How to Calculate Sales Tax

Multiply the price of your item or service by the tax rate. If you have tax rate as a percentage, divide that number by 100 to get tax rate as a decimal. Then use this number in the multiplication process.

For example say you're buying a new coffee maker for your kitchen. The price of the coffee maker is $70 and your state sales tax is 6.5%.

Sales Tax Calculation Formulas

In these formulas Sales Tax is the dollar amount of sales tax paid, Sales Tax Percent is the state sales tax as a percentage and Sales Tax Rate is the state sales tax as a decimal for calculations.

If you need to calculate state sales tax, use tax and local sales tax see the State and Local Sales Tax Calculator .

For a table of 2022 state sales tax rates see State and Local Sales Tax Rates, 2022 .

For more detail including local tax rates or type of purchase see Wikipedia Tax Tables by State.

Cite this content, page or calculator as:

Furey, Edward " Sales Tax Calculator " at https://www.calculatorsoup.com/calculators/financial/sales-tax-calculator.php from CalculatorSoup, https://www.calculatorsoup.com - Online Calculators

Sales tax rate math problems

This Sales tax rate math problems helps to quickly and easily solve any math problems.

SAT Math : How to find the amount of sales tax

Analysis: Sales tax is the difference between the amount of the total bill and the price of the item. If we divide the sales tax by the price of the item, we get the sales tax rate. Solution: $17.68 - $17.00 = $0.68 and ($0.68) / ($17.00) = 0.04. Answer: The sales tax rate is 4%.

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How to Calculate Sales Tax

Math problem: sales tax.

The formula for sales tax is a simple algebra equation that involves converting a percentage to a decimal, then using the decimal as a multiplier on the cost of

Appendix A: Applications

Solving sales tax applications, learning outcomes.

Solve an application

Remember that whatever the application, once we write the sentence with the given information (Step 2), we can translate it to a percent equation and then solve it.

Do you pay a tax when you shop in your city or state? In many parts of the United States, sales tax is added to the purchase price of an item. See the image below.

The sales tax is determined by computing a percent of the purchase price.

The sales tax is calculated as a percent of the purchase price.

The figure shows a restaurant check with sales tax

The sales tax is a percent of the purchase price.

[latex]\begin{array}{ccc}\hfill \text{Sales Tax}& =& \text{Tax Rate}\cdot \text{Purchase Price}\hfill \\ \hfill \text{Total Cost}& =& \text{Purchase Price}+\text{Sales Tax}\hfill \end{array}[/latex]

Cathy bought a bicycle in Washington, where the sales tax rate was [latex]\text{6.5%}[/latex] of the purchase price. What was

ⓐ the sales tax and ⓑ the total cost of a bicycle if the purchase price of the bicycle was [latex]\text{\$392}?[/latex]

In the following video we show an example of how to calculate the sales tax on an item given the tax rate. Note that it does not include calculating the total cost of the item after tax.

Evelyn bought a new smartphone for [latex]\text{\$499}[/latex] plus tax. She was surprised when she got the receipt and saw that the tax was [latex]\text{\$42.42}[/latex]. What was the sales tax rate for this purchase?

Watch this video to see another example of how to find the tax rate for an item given the price after tax, and the original price.

How to solve sales tax rate math problems

How to Calculate Sales Tax Find list price and tax percentage Divide tax percentage by 100 to get tax rate as a decimal Multiply list price by decimal tax

Percent word problems: tax and discount

To calculate sales tax of an item, simply multiply the cost of the item by the tax rate. Sales tax. Exercises # 1: You buy a car for 20,000 dollars and pay 5%

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How to Calculate Sales Tax

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How to calculate sale price and discounts, learn about calculating percent increase and decrease with the following examples and interactive exercises..

Analysis: Stores often sell goods for a discounted price. Typically, a store will discount an item by a percent of the original price . In this problem, an item that originally costs $15 is being discounted by 10%. So "10% off" refers to the rate of discount. To solve this problem, we need a procedure.

Now that we have a procedure, we can solve the problem above.

Solution: The rate is 10%.

The discount is: 0.10 x $15.00 = $1.50

The sale price is calculated as follows:

Answer: The discount is $1.50 and the sale price is $13.50.

Let's take a look at some more examples of calculating discount and sale price.

Analysis: The phrase, "Save 25%," refers to the rate.

The original price of the dress is $40.

Solution: The rate is 25%.

The discount is: 0.25 x $40.00 = $10.00

Answer: The discount is $10.00 and the sale price is $30.00.

Analysis: The phrase, "Get a 20% discount," refers to the rate.

Solution: The rate is 20%.

The discount is: 0.20 x $12.00 = $2.40

Answer: The discount is $2.40 and the sale price is $9.60.

Analysis: The phrase, "50% off," refers to the rate.

Solution: The rate is 50%.

The discount is: 0.50 x $5.00 = $2.50

Answer: The discount is $2.50 and the sale price is $2.50.

In Example 3, note that the discount and the sale price are the same amount! Do you know what fraction is equal to 50%? Could you have done this problem using mental math? The phrase, "50% off," is the same as, "1/2 off". So using mental math, you would get that one-half of $5.00 is $2.50. Let's look at another example that uses a fraction.

Answer: The discount is $3.00 and the sale price is $6.00.

Once again, you could calculate the discount and sale price using mental math. Let's look at another way of calculating the sale price of an item. Below is a modified version of the problem from the top of this page.

Solution: The rate is 10%. Thus, the customer is paying 90% for the DVD.

The sale price is: 0.90 x $15.00 = $13.50

Answer: The sale price is $13.50.

Note that we calculated the sale price in the above problem, but we did not calculate the discount.

Directions: Solve each problem below by entering a dollar amount with cents. For each exercise below, click once in the ANSWER BOX, type in your answer and then click ENTER. After you click ENTER, a message will appear in the RESULTS BOX to indicate whether your answer is correct or incorrect. To start over, click CLEAR.

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IMAGES

how to solve sales tax problems
Sales Tax Worksheet 7th Grade Percent Increase Discount Tax Tip Lessons Tes Teach in 2020
Math Formula To Calculate Property Tax
What Sales Tax Mean In Math
How To Calculate Sales Tax In Math
tax formula math

VIDEO

Sales Tax
8.1 basics of percent. sales tax. discount
Other Percentage Taxes
Discount & Taxes: Multiple Discounts Example
Kal Tak with Javed Chaudhry
Algebra: Discounts and Sales Tax (Percents)

COMMENTS

Percent word problems: tax and discount (video)
1.You would find the rate by multiplication or division depending on the situation. 2. If you have multiple discounts, you add them up. 3. Final price with a discount would be %*#+#, or 1.%*#. I'm terribly sorry for being too late, but I hope this helps! 2 comments ( 1 vote) Upvote Murtaza S. Wani 5 years ago
6.3: Solve Sales Tax, Commission, and Discount Applications
The sales tax is determined by computing a percent of the purchase price. To find the sales tax multiply the purchase price by the sales tax rate. Remember to convert the sales tax rate from a percent to a decimal number. Once the sales tax is calculated, it is added to the purchase price.
Free Step-by-Step Sales Tax Lesson with Interactive Exercises
Analysis: Sales tax is the difference between the amount of the total bill and the price of the item. If we divide the sales tax by the price of the item, we get the sales tax rate. Solution: $17.68 - $17.00 = $0.68 and ($0.68) ÷ ($17.00) = 0.04. Answer: The sales tax rate is 4%.
Solving Problems involving Sales Tax, Commission, Discount and Interest
Examples: Solve the following problems. 1. How much sales tax is charged on an item that costs $250 if the sales tax rate is 6%? What is the total price of the item? Solution: We will multiply the sales tax rate as a decimal and the purchase price in order to calculate the amount of sales tax. Sales tax = .== ..= .06 ∗ $250 = $15.00 or $15 ...
Percent Word Problems
This math video tutorial provides a basic introduction into percent word problems. It explains how to calculate the total price after sales tax has been added and how to calculate the new...
Sales Tax Worksheets
Find the sales tax amount, given the tax percent. Also calculate the total amount in scenarios dedicated to sales taxes. Finding the Original Price | Word Problems Get a thorough practice in finding the original price using the selling price and tax percent.
Math
Example 1 - solve with quadratic formula Example 3 - solve by factoring Example 5 - Permutations and combinations Example 6 - Binomial Distribution - Test Error Rate Example 7 - Pearson Correlation ALL +1 Solving-Math-Problems Page Site Math - Sales Tax by Emone Vinson (Houston, Tx)
How to solve sales tax math problems
The tax rate formula that you want to know is: P + (rP) = T P = the price of the object r = tax rate (converted to decimal value) T = total cost For example, Let us use a tax rate of 8%. P + .08P = T OR 1.08P = T So, If the price of the item is $15, the total price including tax would be: 1.08 ($15) = T = $16.20
How to solve sales tax rate math problems
To calculate sales tax of an item, simply multiply the cost of the item by the tax rate. Sales tax. Exercises # 1: You buy a car for 20,000 dollars and pay 5%
How to solve sales tax rate math problems
To find the sales tax multiply the purchase price by the sales tax rate. Remember to convert the sales tax rate from a percent to a decimal number. Once the sales tax is calculated, it is added to the purchase price. The result is the total cost-this is what the customer pays.May 1, 2022
How to Find the Tax Rate
http://www.mathproblemgenerator.com - How to Find the Tax Rate. For more practice and to create math worksheets, visit Davitily Math Problem Generator at ww...
Tax and tip word problems (practice)
Tax and tip word problems (practice) | Khan Academy Discount, markup, and commission word problems Math > 7th grade > Fractions, decimals, & percentages > Percent word problems Tax and tip word problems Google Classroom You might need: Calculator Aubrey's dinner cost \$85 $85. She tips the waitstaff 30\% 30% for excellent service.
How to solve sales tax rate math problems
To find the sales tax multiply the purchase price by the sales tax rate. Remember to convert the sales tax rate from a percent to a decimal number. Once the sales tax is calculated, it is added to the purchase price. The result is the total cost-this is what the customer pays.May 1, 2022
How to Find Discount, Tax, and Tip? (+FREE Worksheet!)
Selling price = = original price - - discount Tax: To find tax, multiply the tax rate to the taxable amount (income, property value, etc.) Tip: To find tip, multiply the rate to the selling price. Discount, Tax and Tip - Example 1: With a 20% 20 % discount, Ella was able to save $40 $ 40 on a dress. What was the original price of the dress?
How to find the amount of sales tax
Explanation: . A 10% sale means that the post-sale price of the item is now 90%, or 0.9 of the original cost of the item. We then apply 9% sales tax by multiplying the 0.9 by 109%, or 1.09. 0.9 * 1.09 = .981, so the total cost of the item is 98.1% of the original pre-sale sticker price.. For percentage problems that do not deal with a specific starting number, it is always helpful to plug in ...
How to solve math problems with sales tax
To calculate sales tax of an item, simply multiply the cost of the item by the tax rate. Sales tax. Exercises # 1: You buy a car for 20,000 dollars and pay 5% Top Specialists Top specialists are the best in their field and provide the highest quality care. Do math equations
How to solve sales tax rate math problems
Solving Sales Tax Applications Learn How To Determine Sales Tax With Step By Step Problems And Solutions. Use the Interactive Exercises to Assess Your Understanding. Explain math equations One plus one is two. Fast Expert Tutoring If you're looking for fast, expert tutoring, you've come to the right place! Fast answers
Percent Problems involving Taxes
This video walks through a one and two-step method for finding sales tax. It includes 4 examples. Solving Percent Word Problems - Sales Tax Percent word problem. Find final price given a percent sales tax? How to solve a percentage of change problem Try the free Mathway calculator and problem solver below to practice various math topics.
How to calculate taxes and discounts
Then, the rate of tax paid on that mobile can be calculated by using the above formula. Tax rate = (Tax amount/Price before tax) × 100. Tax rate = ($20/$200) × 100. Tax rate = 10%. Let's now try and understand how taxes are levied on a discounted product. Discount is calculated on the selling price, excluding taxes.
How to solve tax rate math problems
SAT Math : How to find the amount of sales tax. To find the sales tax multiply the purchase price by the sales tax rate. Remember to convert the sales tax rate from a percent to a decimal number. Once the sales tax is calculated, it is added to the purchase price. The result is the total cost-this is what the customer pays.May 1, 2022
How to Calculate sales tax in algebra « Math :: WonderHowTo
Calculate sales tax in algebra. By Robin Mansur. 5/20/08 10:44 AM. In this math lesson we will learn how to solve math problems involving sales tax. Remember these two important formulas: Final price = price before tax + sales tax. Sales tax = sales tax rate x price before tax.
Sales Tax Calculator
The price of the coffee maker is $70 and your state sales tax is 6.5%. List price is $90 and tax percentage is 6.5%. Divide tax percentage by 100: 6.5 / 100 = 0.065. Multiply price by decimal tax rate: 70 * 0.065 = 4.55. You will pay $4.55 in tax on a $70 item. Add tax to list price to get total price: 70 + 4.55 = $74.55.
Sales tax rate math problems
Sales tax rate math problems - Best of all, Sales tax rate math problems is free to use, so there's no reason not to give it a try! Math Materials. ... 6.3: Solve Sales Tax, Commission, and Discount Applications. Get mathematics help online. Learning a new skill can be daunting, but breaking the process down into small, manageable steps can ...
Solving Sales Tax Applications
try it. Find 1) the sales tax and 2) the total cost. Round your answers to the nearest cent. Nicole bought a television set for $1131 in Boston, where the sales tax rate was 6.3% of the purchase price. In the following video we show an example of how to calculate the sales tax on an item given the tax rate.
How to solve sales tax rate math problems
How to Calculate Sales Tax Find list price and tax percentage Divide tax percentage by 100 to get tax rate as a decimal Multiply list price by decimal tax Free Step To find the amount of sales tax, take the difference in the total before and after tax \displaystyle (138.24-128) and divide by the price before tax.
Sales Tax
Solution: The sales tax = Final price - price before tax = $74.20 - $70.00 = $4.20 Sales tax = sales tax rate x price before tax $4.20 = sales tax rate x $70 The sales tax rate = 4.20 / 70 = 0.06 = 6% Return from the Sales Tax page to Money Math
How To Calculate Discount and Sale Price
Solution: The rate is 10%. The discount is: 0.10 x $15.00 = $1.50 The sale price is calculated as follows: Answer: The discount is $1.50 and the sale price is $13.50. Let's take a look at some more examples of calculating discount and sale price. Example 1: In a department store, a $40 dress is marked, "Save 25%." What is the discount?
How to Calculate Sales Tax
To calculate the sales tax in dollars, simply multiply the purchase price by the sales tax rate. For example, to compute the total price for a $250.00 television if it's being purchased in a ...