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    A shopkeeper provide successive discounts of 5% and 4%, which are equivalent to a single discount of ________.
    Question

    A shopkeeper provide successive discounts of 5% and 4%, which are equivalent to a single discount of ________.

    A.

    9%

    B.

    8%

    C.

    9.2%

    D.

    8.8%

    Correct option is D

    Given:
    Successive discounts =5% and 4%

    Formula Used:
    Successive discount = X + Y - XY100\frac{XY}{100}​​
    Where,
    X = First discount
    Y = Second discount.
    Solution:
    Let us take first two discounts i.e. X = 5%, Y = 4%.
    => Successive discount = X + Y -XY100\frac{XY}{100}
    => Successive discount = 5 + 4 - 5×4100=90.2=8.8%\frac{5 \times4}{100} = 9-0.2 = 8.8\%​ 
    Hence, one single equivalent discount is 8.8%

    Alternate Method:

    Let MP be 100
    SP after discount = 100 × 95% × 96% = 91.2.
    Hence, Discount = 100 - 91.2 = 8.8%

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