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    Find a single discount equivalent to two successive discounts of 15 percent and 5 percent.
    Question

    Find a single discount equivalent to two successive discounts of 15 percent and 5 percent.

    A.

    19.25

    B.

    20.20

    C.

    10.5

    D.

    18.75

    Correct option is A

    Given:

    2 successive discounts of 15% and 5%.

    Formula Used:

    Effective discount for a% and b% discounts

    = a% + b% - (ab100\frac{ab}{100}​)%

    Solution:

    Effective discount for 15% and 5% discounts:

    15%+5%{15×5100}%=20%0.75%=19.25%15\% + 5\% - \left\{ \frac{15 \times 5}{100} \right\}\% = 20\% - 0.75\% = 19.25\%​​

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