A merchant invests a certain sum and his annual gain percent is 25. If at the end of the third year, his… · ABC26GN2428

Subject: General Aptitude · Chapter: Percentage

A merchant invests a certain sum and his annual gain percent is 25. If at the end of the third year, his capital is ₹ 10000, then the amount invested by him is equal to

(a)₹ 5120

(b)₹ 5210

(c)₹ 5500

(d)₹ $5714 \frac{2}{7}$

Answer

Answer (as printed): A

Explanation

Amount invested $=₹\left[\frac{10000}{\left(1+\frac{25}{100}\right)^{3}}\right]=₹\left(10000 \times \frac{4}{5} \times \frac{4}{5} \times \frac{4}{5}\right)$ $$\text { = ₹ } 5120 .$$

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

Study loop for Percentage

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