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?
Answer (Long method):
Discount
= Percent Discount × Original price
= 15% × $200
= $30
Discounted Price
= Original Price – Discount
= $200 – $30
= $170
Answer (Short method):
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?
Answer:
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?
Answer:
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?
Answers
A1. $280
A2. Discounted price = 90%; Original price = $1000
A3. 10%
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