The value of a machine depreciates at the rat | vedclass

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(B) The present value of the machine is $P = Rs. 29644.032$.The rate of depreciation is $r = 12\%$ per annum.The time period is $n = 3$ years.The form

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$43500$

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(B) The present value of the machine is $P = Rs. 29644.032$.The rate of depreciation is $r = 12\%$ per annum.The time period is $n = 3$ years.The formula for the depreciated value is given by $V = P_0 	imes (1 - \frac{r}{100})^n$,where $P_0$ is the initial purchase price.To find the purchase price $P_0$,we rearrange the formula:$P_0 = \frac{V}{(1 - \frac{r}{100})^n}$Substituting the given values:$P_0 = \frac{29644.032}{(1 - \frac{12}{100})^3}$$P_0 = \frac{29644.032}{(0.88)^3}$$P_0 = \frac{29644.032}{0.681472}$$P_0 = 43500$Therefore,the purchase price of the machine was $Rs. 43500$.

The value of a machine depreciates at the rate of $12\%$ per annum. It was purchased $3$ years ago. Its present value is $Rs. 29644.032$. What was the purchase price (in $Rs.$) of the machine?

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