Question Bank • QB_GA_070 NAT • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

A sum of Rs. $10,000$ invested at compound interest compounded annually amounts to Rs. $12,100$ in $2\text{ years}$. Calculate the annual rate of interest in percentage.

Answer Key:

10

Step-by-Step Solution & Explanation

$A = P \left(1 + \frac{R}{100}\right)^n$ $12100 = 10000 \left(1 + \frac{R}{100}\right)^2$ $\left(1 + \frac{R}{100}\right)^2 = \frac{12100}{10000} = 1.21$ $1 + \frac{R}{100} = \sqrt{1.21} = 1.10$ $\frac{R}{100} = 0.10 \implies R = 10\%$
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