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21 February, 12:18

A store is offering a 25% discount on all items. Also, employees get a 10% employee discount. If you are an employee, which discount would you want to be applied first to save the most money?

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  1. 21 February, 15:48
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    Based on the given situation above, the answer would be: either of two discounts can be applied first to save money because both have the same results. Here is the solution:

    First solution:

    Let x = original price

    Do the 25% discount first, then the 10% discount

    Apply the first discount x - 0.25x = 0.75x

    Then apply the second discount

    0.75x - 0.10*0.75x = 0.675*x

    So the result would be, you're paying 67.5% of the original price and get an overall discount of 100 - 67.5 = 32.5% off

    Second solution:

    Do the 10% discount first, then the 25% discount

    Apply the first discount x - 0.10x = 0.90x

    Then apply the second discount 0.90x - 0.25*0.90x = 0.675*x

    Still, you get the same price
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