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    The value of a machine depreciates at the rate of 10% per annum. If its present value is ₹1,62,000, what was the value (in ₹) of the machine 2 years a
    Question

    The value of a machine depreciates at the rate of 10% per annum. If its present value is ₹1,62,000, what was the value (in ₹) of the machine 2 years ago?

    A.

    50,000

    B.

    2,00,000

    C.

    1,31,220

    D.

    54,66,123

    Correct option is B

    Given:

    Present value of the machine = ₹1,62,000

    Depreciation rate = 10% per annum

    Time = 2 years

    Required: Value of machine 2 years ago

    Solution:

    Original Value = 162000(110100)2=162000(0.9)2=1620000.81=2,00,000\frac{162000}{(1 - \frac{10}{100})^2} = \frac{162000}{(0.9)^2} = \frac{162000}{0.81} =₹2,00,000

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