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All courses Math Foundations · MF.RN.8 14 of 60
Solve discount, markup, tax, tip, and simple interest style percent problems.

Apply a percent discount

Problem
A jacket originally costs \(\$80\). It is on sale for \(25\%\) off. What is the sale price?
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Hint

Change 25% to 0.25, then use it with the original price of 80 to find the discount amount first.

Percent off means find that percent of the original price, then subtract it from the original to get the sale price.

Solution walkthrough

01

Separate original price from discount

\[\text{original}~\text{price}~=~\$80;~\text{discount}~\text{rate}~=~25\%\]

The jacket starts at $80, and 25% off describes the amount removed from that original price.

02

Convert the discount rate

\[25\%~=~25/100~=~0.25\]

The decimal multiplier for the discount is 0.25.

03

Find the discount amount

\[\text{discount}~=~0.25~\times~\$80~=~\$20\]

One fourth of the $80 original price is a $20 discount.

04

Subtract to find sale price

\[\text{sale}~\text{price}~=~\$80~-~\$20~=~\$60\]

Percent off lowers the price, so subtract the discount from the original.

05

Check and answer

\[\$60\]

The sale price is 75% of $80, and 0.75 × $80 = $60, confirming the answer.

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Another way

  1. Pay 100% − 25% = 75% of the original price: 0.75 × $80 = $60.

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Common mistake

Do not report $20 as the sale price. That is only the discount amount; subtract it from $80.

Solution walkthrough video