Skill: 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.