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Question

The value of a machine depreciates at the rate of 10% per annum. It was purchased 3 years ago. It its present value is Rs. 43740, find its purchased price.


Solution

Let the purchase price of machine = Rs. P
Rate of depreciation =10% p.a.
Period (n) = 3 years.
and present value = Rs. 43740
A=P(1R100)n
Rs.43740=P(110100)3
Rs.43740=P(910)3
P=Rs.43740(109)3
=Rs.43740×109×109×109=Rs.60000
Value of machine 3 years ago = Rs. 60000.

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