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    Find a single discount equivalent to a series of discounts 10%, 20% and 30%
    Question

    Find a single discount equivalent to a series of discounts 10%, 20% and 30%

    A.

    50.2%

    B.

    50.4%

    C.

    49.6%

    D.

    51.0%

    Correct option is C

    Solution

    Let the marked price be 100.

    After 10% discount:
    Price = 90

    After 20% discount:
    Price = 90 × 80 / 100 = 72

    After 30% discount:
    Price = 72 × 70 / 100 = 50.4

    Final price = 50.4

    Equivalent single discount
    = 100 − 50.4
    = 49.6%

    Correct Answer:

    (a) 49.6%

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