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    Find a single discount equivalent to two successive discounts of 25% and 10%.
    Question

    Find a single discount equivalent to two successive discounts of 25% and 10%.

    A.

    31.9%

    B.

    35.5%

    C.

    32.5%

    D.

    38.4%

    Correct option is C

    Given:
    Two successive discounts: 25% and 10%.
    Formula Used:
    Single Discount = 1(1d1100)×(1d2100).1 - (1 - \frac {d_1}{100}) × (1 - \frac{d_2}{100}).​​
    Solution:
    Single Discount = 1 - (125100)×(110100)(1 - \frac {25}{100}) × (1 - \frac{10}{100})​​
    Single Discount= 1 - 0.75 × 0.90
    Single Discount= 1 - 0.675
    Single Discount = 0.325 = 32.5%
    Answer: (c) 32.5%

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