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    The value of a machine, purchased 3 years ago, depreciates at the annual rate of 15%. If its present value is ₹51,20,000, find its value after 4 years
    Question

    The value of a machine, purchased 3 years ago, depreciates at the annual rate of 15%. If its present value is ₹51,20,000, find its value after 4 years.

    A.

    ₹26,72,672

    B.

    ₹26,62,267

    C.

    ₹27,76,622

    D.

    ₹26,67,722​​

    Correct option is A

    Given:

    Present value of machine = ₹51,20,000

    Depreciation = 15%

    Time = 3 years

    Formula Used:

    Compounded depreciation = OriginalValue(1r100)tOriginal Value \left( 1 - \frac{r}{100}\right)^t​​

    Solution:

    Value of machine after 4 years =  51,20,000(115100)451,20,000 \left( 1 - \frac{15}{100}\right)^4​​

    = ₹26,72,672

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