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    Two successive discount of 30% and 35% on a deal are equivalent to a single discount of :
    Question

    Two successive discount of 30% and 35% on a deal are equivalent to a single discount of :

    A.

    60%

    B.

    65%

    C.

    54.5%

    D.

    55.5%

    Correct option is C

    Given:
    The successive discount are 30% and 35%.
    Formula Used:
    Successive discount = X + Y - XY100\frac{XY}{100}​​
    Where,
    X = First discount
    Y = Second discount
    Solution:

    Successive discount = X + Y - XY100\frac{XY}{100}​​
    X = 30%, Y = 35%
    => 30 + 35 - 30×35100\frac{30 \times 35}{100}​​
    => 65-10.5 = 54.5%
    ∴ The single equivalent discount is 54.5%.

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