Question

Aaden has a loyalty card good for a discount at his local hardware store. The item he wants to buy is priced at $38, before discount and tax. After the discount, and before tax, the price is $31.54. Find the percent discount.

Answer 1

17%

Explanation:

You want the discount applied to a price of $38 that reduces it to $31.54.

Discount

The discounted price is related to the initial price by ...

discounted price = (initial price) -d·(initial price) = (initial price)(1 -d)

Solving for the discount rate d, we have ...

1 -d = (discounted price)/(initial price)

d = 1 -(discounted price)/(initial price) = 1 -31.54/38 = 0.17 = 17%

The discount is 17%.

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