The value of a machine depreciates at the rate of 12 percent per annum. It was purchased three years ago. Its… · ABC26GN2430

Subject: General Aptitude · Chapter: Percentage · Exam: S.B.I.P.O. 2008

The value of a machine depreciates at the rate of 12 percent per annum. It was purchased three years ago. Its present value is ₹ 29644.032. What was the purchase price of the machine?
(a)₹ 38900
(b)₹ 39000
(c)₹ 43500
(d)₹ 48700
(e)None of these
Answer
Answer (as printed): C
Explanation
Purchase price $=₹\left[\frac{29644.032}{\left(1-\frac{12}{100}\right)^{3}}\right]$ $$=₹\left(29644.032 \times \frac{25}{22} \times \frac{25}{22} \times \frac{25}{22}\right)=₹ 43500 .$$

Explanation as extracted from the printed page; notation may be imperfect.

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