The value of a machine depreciates at the rat | vedclass

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Question

(C) Let the purchase price of the machine be $P$.The rate of depreciation $R = 10 \%$ per annum.The time period $n = 3$ years.The present value $A = ₹

Vedclass · Accepted Answer

$12000$

Vedclass · Answer

(C) Let the purchase price of the machine be $P$.The rate of depreciation $R = 10 \%$ per annum.The time period $n = 3$ years.The present value $A = ₹ 8748$.The formula for depreciation is $A = P(1 - \frac{R}{100})^n$.Substituting the values: $8748 = P(1 - \frac{10}{100})^3$.$8748 = P(1 - \frac{1}{10})^3$.$8748 = P(\frac{9}{10})^3$.$8748 = P 	imes \frac{729}{1000}$.$P = \frac{8748 	imes 1000}{729}$.$P = 12 	imes 1000 = ₹ 12000$.Thus,the purchase price of the machine was $₹ 12000$.

The value of a machine depreciates at the rate of $10 \%$ every year. It was purchased $3$ years ago. If its present value is $₹ 8748$,what was its purchase price?

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