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    Question

    The price of a commodity was

    first increased by 25% and then decreased by 25%. If the new price of the commodity is Rs. 600, find the original price of the commodity.
    A Rs.640 Correct Answer Incorrect Answer
    B Rs.540 Correct Answer Incorrect Answer
    C Rs.660 Correct Answer Incorrect Answer
    D None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the original price of the commodity be Rs. '100x'. New price of the commodity = 100x × 1.25 × 0.75 = Rs. '93.75x' So, 93.75x = 600 x = 600 / 93.75 = 6.4 Therefore, the original price of the commodity = 100 × 6.4 = Rs. 640.

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