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SSC CHSL 2025 PYQ — Question 62

SSC CHSL - 13 Nov 2025 - Shift 1 • Quantitative Aptitude • Q62

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A sum of money becomes 13/8 of itself in 5 years at a certain rate of simple interest. What is the rate of interest per year?

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Correct answer: B

Explanation

time = 5 years
Amount = 13/8 × Principal
According to the formula:
A=P+SI
SI=P×R×T100A=13P8SI=A−P=13P8−P=13P−8P8=5P8SI=P×R×T1005P8=P×R×510058=5R100R=1008=12.5%SI = \frac{P \times R \times T}{100} \\ A = \frac{13P}{8} \\ SI = A - P \\ = \frac{13P}{8} - P \\ = \frac{13P - 8P}{8} \\ = \frac{5P}{8} \\ SI = \frac{P \times R \times T}{100} \\ \frac{5P}{8} = \frac{P \times R \times 5}{100} \\ \frac{5}{8} = \frac{5R}{100} \\ R = \frac{100}{8} = 12.5\%
Interest rate = 12.5% ​​per annum