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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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  1. 10 February, 14:13
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    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%
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