Calculate sale prices after discounts

Sale price is the remaining percentage of an original price after a discount: for a discount rate $d\%$ , the price is $(1-d/100)$ times the original, with money rounded appropriately to cents. The relationship can be represented with a percent bar, decimal multiplication, or by finding and subtracting the discount amount; the discount is not subtracted as a fixed number of dollars. This scope excludes successive discounts, tax, and more complex financial formulas.

Detailed Explanation: Calculate sale prices after discounts

A discount means you pay only the part of the original price that remains.

For a discount of $(d\%)$ :

\text{sale price}=\left(1-\frac{d}{100}\right)\times\text{original price}

Example

A jacket costs 64.99 $and is$ (20%)$ off. What is the sale price?

Step 1: Find the percent you will pay.

100\%-20\%=80\%

You will pay $(80\%)$ of the original price.

Step 2: Change $(80\%)$ to a decimal.

80\%=0.80

Step 3: Multiply the original price by the decimal.

64.99\times 0.80=51.992

Step 4: Round to the nearest cent.

\$51.992\approx \$51.99

The sale price is:

\boxed{\$51.99}

Remember, a $(20\%)$ discount does not mean subtracting 20 $. It means subtracting$ (20%)$ of the original price.

Learn by doing: Calculate sale prices after discounts

Click a topic below to practice the foundational skills you'll need, learn the steps, or master this skill

Practice with unlimited practice problems

Percent reduction of money (10% multiples)

Earned ?