The value of a machine depreciates at the rate of 12 percent per annum. It was purchased three years ago. Its present value is Rs. 29644.032. What was the purchase price of the machine ?

A. Rs. 38900

B. Rs. 39000

C. Rs. 43500

D. Rs. 48700

E. None of these

Answer: Option C

Solution(By Examveda Team)

Purchase price :
$$\eqalign{ & = {\text{Rs}}{\text{.}}\left[ {\frac{{29644.032}}{{{{\left( {1 - \frac{{12}}{{100}}} \right)}^3}}}} \right] \cr & = {\text{Rs}}{\text{.}}\left( {29644.032 \times \frac{{25}}{{22}} \times \frac{{25}}{{22}} \times \frac{{25}}{{22}}} \right) \cr & = {\text{Rs}}.43500 \cr} $$