How to find the sale price

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Algebra › How to find the sale price

Questions 1 - 10
1

You go shopping and you see a shirt that costs $25. There is a sign next to it that says it is 20% off. What is the sale price of the shirt?

Explanation

The sale price of something is how much we will spend after the discount is taken. So, the discount is 20%.

We must find what 20% of $25 is. We know

Now, we multiply.

So, the discount is $5. We need to determine how much we are going to pay. To do that, we subtract the discount from the original cost.

The sale price of the shirt is $20.

2

A girl in County A spent $75 before a 7.25% sales tax and a girl in County B spent $70 before an 8% sales tax. How much more money did the girl from County A spend than the girl from County B after sales tax was applied? Round to the nearest hundredth.

$4.84

$5.84

$16.25

$1.63

$2.63

Explanation

County A: Multiply the price by the sales tax to find out how much money the sales tax will add. Remember to convert percent to decimal!

$75 * 0.0725 = $5.4375

Add the original price and the sales tax.

$75 + $5.4375 = $80.4375

County B: Multiply the price by the sales tax to find out how much money the sales tax will add. Remember to convert percent to decimal!

$70 * 0.08 = $5.6

Add the original price and the sales tax.

$70 + $5.6 = $75.6

Then take the difference.

80.4375 – 75.6 = 4.8375

Round to the nearest hundredth: $4.84

3

A shirt was originally selling for $28. It is now $21. What percent was it marked down?

Explanation

To solve this, you can set up an equation: . Translated into words, the new price equals the original price minus the discount. Isolate for and you get .

The negative sign signals that the percentage is a mark down. Convert the fraction into a percentage and you get .

4

A coat goes on sale for off. If the coat originally costs , what is the sale price of the coat?

Explanation

In order to find the sales price of the coat we need to convert the sales percentage into a decimal. To do this, divide it by one hundred or just move the decimal two spaces to the left. From here we can can calculate the new price of the coat by subtracting the decimal percentage from the original and then multiplying the original price by this new decimal.

First, we will convert the sales percent to a decimal.

Substitute this number and the original price of the coat into the above formula to calculate the sale price.

Round up to two decimal places.

5

A plate goes on sale for off. If the original price was , what is the sale price fo the plate?

Explanation

In order to find the sales price of the plate we need to convert the sales percentage into a decimal. To do this, divide it by one hundred or just move the decimal two spaces to the left. From here we can can calculate the new price of the plate by subtracting the decimal percentage from the original and then multiplying the original price by this new decimal.

First, we will convert the sales percent to a decimal.

Substitute this number and the original price of the plate into the above formula to calculate the sale price.

Round to two decimal places.

6

Robin sees that a jacket at the mall has been marked down 20% from an original price of $49.99. Taking into account the sales tax of 8%, which is applied after taking the discount, how much will Robin have left over if she brought $60 to the mall?

Explanation

After the discount, she will pay for the remaining cost of the jacket. This cost will be equal to the percent remaining after the discount.

100% – 20% = 80%

She will pay for 80% of the original cost.

80% = 0.80

Add in the sales tax.

8% = 0.08

Subtract the final price from Robin's budget of $60.

7

What is the sale price of a two dollar candy bar if the tax applied was five percent?

Explanation

The final sales price is the original price of the candy bar plus the tax applied to the candy bar.

Five percent is:

Set up the equation to find the final sales price.

Simplify the equation.

The answer is:

8

A hat that an employee of a discount store wants to buy was marked down 30%; the employee gets a 15% discount on merchandise she buys there. The two discounts together add up to what percent discount off the original regular price?

40.5% discount

Not enough information is given to solve this problem.

50.5% discount

45% discount

35% discount

Explanation

Let us say for the sake of simplicity that the hat costs $100.00 before discount. Then a 30% discount means that the discount is 30% of $100, or $30, and the new price is $70. Then the employee gets a discount of 15% of the $70, or ; she will pay .

She ends up paying 59.5% of the original purchase price; that is, she gets a net discount of 40.5%.

9

A pair of shoes costs $45. There is a sign that says all shoes are 14% off. What is the sale price of the shoes?

Explanation

To find the sale price of an item, we will first find the amount of discount and subtract that from the original price. In other words,

We know the pair of shoes originally cost $45. We also know the discount is equal to 14% of $45. To get this value, we will multiply 14% by $45.

Now, we can substitute into the formula.

Therefore, the sale price of the shoes is $38.70.

10

An electronics store is running a promotion where all of its computers are discounted by 15%. How much would it cost to buy a computer that normally costs $800?

Explanation

If the computer is discounted by 15%, then it must be priced at 85% of its original price (100% minus the 15% discount). To determine what 85% of $800, multiply 0.85 by 800:

for a discounted price of $680.

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