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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 ₹35,850 Correct Answer Incorrect Answer
    B ₹41,656 Correct Answer Incorrect Answer
    C ₹46,600 Correct Answer Incorrect Answer
    D ₹36,656 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Net percentage change = –18% –12% + {[(–18%) × (–12%)]/100}%= –30% + 2.16% = –27.84%

    Let present value be Rs. ‘x’

    Then, 72.16% of x = 25872

    Or, 0.7216 × x = 25872

    Or, x = 25872 / 0.7216 = 35850

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

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