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    Question

    The cost of a piece of equipment dropped by 14% in the

    first year and 18% in the second year. If the value after 2 years is Rs. 30,160, calculate its original cost.
    A ₹42,760 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 = –14% –18% + {[(–14%) × (–18%)]/100}%= –32% + 2.52% = –29.48%

    Let present cost be Rs. ‘x’

    Then, 70.52% of x = 30160

    Or, 0.7052 × x = 30160

    Or, x = 30160 / 0.7052 = 42760

    So, the original cost of the equipment = Rs. 42,760

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