Concert tickets were originally priced at $168. When you use your coupon to buy a ticket you receive a discount that is a percentage of the original cost. There is then a service fee of 20% applied to the discounted price. If the final amount paid for the tickets was $126 what was the percentage discount given for the coupon?

Question

Mathematics

Xiomara Hatfield

10 February, 10:29

Concert tickets were originally priced at $168. When you use your coupon to buy a ticket you receive a discount that is a percentage of the original cost. There is then a service fee of 20% applied to the discounted price. If the final amount paid for the tickets was $126 what was the percentage discount given for the coupon?

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Answers (1)

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Noe Alexander · Answer 1

Answer: the percentage discount given for the coupon is 37.5%

Step-by-step explanation:

Let x represent the discounted price.

There is then a service fee of 20% applied to the discounted price. It means that the value of the service fee is

20/100 * x = 0.2x

The price of the ticket would be

x + 0.2x = 1.2x

If the final amount paid for the tickets was $126, it means that

1.2x = 126

x = 126/1.2 = $105

The Concert tickets were originally priced at $168. With your coupon, the price became $105. Therefore, the amount taken off the original price is

168 - 105 = $63

Therefore, the percentage discount given for the coupon is

63/168 * 100 = 37.5%