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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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