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25 January, 12:14

The price of a dress is reduced by 55 0%. When the dress still does not sell, it is reduced by 55 0% of the reduced price. If the price of the dress after both reductions is $5050 , what was the original price?

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  1. 25 January, 12:31
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    x = $200

    The original price is $200

    Question:

    The price of a dress is reduced by 50%. When the dress still does not sell, it is reduced by 50% of the reduced price. If the price of the dress after both reductions is $50, what was the original price?

    Step-by-step explanation:

    Let x represent the original price of the dress.

    First reduction

    After first reduction the value of the price is given as;

    p1 = x - 50% of x = (1-0.50) x = 0.5x

    p1 = 0.5x

    Second reduction

    After the second reduction the value of the price is given as;

    p2 = p1 - 50% of p1 = (1-0.50) p1 = (0.50) 0.50x

    p2 = 0.25x ... 1

    Since, p2 is given

    p2 = $50

    Substituting into equation 1

    $50 = 0.25x

    x = $50/0.25 = $200

    x = $200

    The original price is $200
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