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    What is the single discount equivalent to the successive discounts of 20%,35%, and 10% ?
    Question

    What is the single discount equivalent to the successive discounts of 20%,35%, and 10% ?

    A.

    42.3%

    B.

    53.2%

    C.

    48.7%

    D.

    65.4%

    Correct option is B

    Given:

    Successive discounts of 20%, 35%, and 10%.

    Concept and Formula Used:

    Formula for net effective percentage;

    = x±y±(x×y)/100

    Where, x and y be the percentage, for increase we take +ve sign

    For decrease, we use -ve sign.

    Solution:

    As per the question;

    Single discount of 20% and 10% = -20-10+200/100 = -28

    Single discount of 28% and 35% = -28-35+28×35/100 = -53.2%

    So, single discount = -53.2%

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