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    What is the single per cent discount equivalent to two successive discounts of 18.5% and 11.5%?
    Question

    What is the single per cent discount equivalent to two successive discounts of 18.5% and 11.5%?

    A.

    30%

    B.

    27%

    C.

    27.8725%

    D.

    32.1275%

    Correct option is C

    Given:

    Two successive discounts:

    First = 18.5%

    Second = 11.5%

    Formula Used:

    Net Discount = X + Y - XY100\frac{XY}{100}​​

    Solution: 

    Here, 

    X = 18.5 and Y = 11.5 

    Now, 

    =18.5+11.518.5×11.5100 =30212.75100 =302.1275=27.8725%= 18.5 + 11.5 - \frac{18.5 \times 11.5}{100} \\ \ \\= 30 - \frac{212.75}{100} \\ \ \\= 30 - 2.1275 = 27.8725\%​​

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