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Question

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

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Solution

Let the purchase price of machine be Rs. P
Rate of depreciation =10% p.a.
Period years.
Present value =Rs. 43740
Depreciated value can be calculated by(t)=3

[ Depriciated value =A]

Rs.43740=P(110100)3

Rs.43740=P(910)3
P=Rs.43740(109)3A=P(1R100)t

P=Rs.43740×109×109×109=Rs.60000

Value of machine 3 years ago =Rs. 60000.


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