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    Two successive discounts of 25% and 10% on a deal are equivalent to a single discount of:
    Question

    Two successive discounts of 25% and 10% on a deal are equivalent to a single discount of:

    A.

    32%

    B.

    34.5%

    C.

    32.5%

    D.

    35%

    Correct option is C

    Given:

    Two discount are 25% and 10%

    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 = 25% of 100 = 25

    Value after first discount = 100 - 25 = 75

    Second discount = 10% of 75 = 7.5

    Value after second discount = 75 - 7.5 =67.5

    Total equivalent discount = 100 - 67.5 = 32.5%

    Alternative Method:

    Using successive discount formula =25+10(25)(10)100=352.5=32.5%25 + 10 - \frac{(25)(10)}{100} = 35- 2.5 = 32.5\%

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