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    Two successive price decreases of 20% and 30% of an article are equivalent to a single price decrease of:
    Question

    Two successive price decreases of 20% and 30% of an article are equivalent to a single price decrease of:

    A.

    44%

    B.

    50%

    C.

    25%

    D.

    40%

    Correct option is A

    Given:
    Two successive price decreases: 20% and 30%.
    Formula Used:
    Equivalent single decrease % = 1 − (1 − a)(1 − b), where a and b are the decrease rates in decimal.
    Solution:
    (1 − 0.20)(1 − 0.30) = 0.80 × 0.70 = 0.56
    Net decrease = 1 − 0.56 = 0.44 = 44%

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