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    Two successive discounts of 40% and 60% on a deal are equivalent to a single discount of:
    Question

    Two successive discounts of 40% and 60% on a deal are equivalent to a single discount of:

    A.

    76%

    B.

    ​70%​

    C.

    80%

    D.

    66%

    Correct option is A

    Given:

    Two discount are 40% and 60%

    Formula Used:

    Successive Discount Formula =d1+d2d1d2100 d_1 + d_2 - \frac{d_1 d_2}{100}​​

    Solution:

    Let the original value be 100

    Then first discount = 40% of 100 = 40

    Value after first discount = 100 - 40 = 60

    Second discount = 60% of 60 = 36

    Value after second discount = 60 - 36 = 24

    Total equivalent discount = 100 - 24 = 76%

    Alternative Method:

    Using successive discount formula =40+60(40)(60)100 40 + 60 - \frac{(40)(60)}{100}

    = 100 - 24

    = 76%

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