# Discount

A discount is an amount of money subtracted from the original price.
The discounted price is cheaper than the original price.

Useful rules are:

• Discount = Percent Discount × Original Price
• Discounted Price = Original Price – Discount
• Percent Discount = Discount ÷ Original Price × 100
• Original Price = Discounted Price × 100 ÷ Percent Discount

## Example One - Discounted Price

A hardware store offers a discount of 15% to builders. What is the discounted price for an electric drill whose original price is \$200?

Discount
= Percent Discount × Original price
= 15% × \$200
= \$30

Discounted Price
= Original Price – Discount
= \$200 – \$30
= \$170

The original price is 100%.
If the discount is 15%, then the discounted price = 100% – 15% = 85%.
Discounted price
= 85% of \$200
= \$170

## Example Two - Finding Percent Discount

Coco received a discount of \$20 on a pair of shoes originally marked \$50. What percent discount is this?

Percent Discount
= Discount ÷ Original Price × 100
= \$20 ÷ \$50 × 100
= 40%

## Example Three - Finding Original Price

A discount of 30% is equal to \$60. What was the original price?

Original Price
= Discount × 100 ÷ Percent Discount
= \$60 × 100 ÷ 30
= \$200

## Questions - Discount

Q1. As a regular customer at a hardware store, Bob receives a discount of 30%. How much does he pay for timber originally priced at \$400?
Q2. Alana receives a discount of 10% and pays only \$900 for a kayak. What was the original price?
Q3. If a discount of \$50 is given for a set of water skis originally priced at \$500, what percent discount is this?   