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    Question

    A refrigerator depreciates in value by 18% in the first

    year and then 12% in the next year. If its price after 2 years is Rs. 25,872, what was its initial price?
    A тВ╣35,850 Correct Answer Incorrect Answer
    B тВ╣41,656 Correct Answer Incorrect Answer
    C тВ╣46,600 Correct Answer Incorrect Answer
    D тВ╣36,656 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Net percentage change = тАУ18% тАУ12% + {[(тАУ18%) ├Ч (тАУ12%)]/100}%= тАУ30% + 2.16% = тАУ27.84%

    Let present value be Rs. тАШxтАЩ

    Then, 72.16% of x = 25872

    Or, 0.7216 ├Ч x = 25872

    Or, x = 25872 / 0.7216 = 35850

    So, the initial price of the refrigerator = Rs. 35,850

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