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SSC CHSL 2025 PYQ — Question 59

SSC CHSL - 12 Nov 2025 - Shift 3 • Quantitative Aptitude • Q59

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The price of a bike increases by 20% in the first year and then decreases by 10% in the second year. If its final price becomes ₹59,400, find the original price of the bike.

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Correct answer: B

Explanation

Increase in the first year = 20%
Decrease in the second year = 10%
Final price = 59,400
According to the formula:
A=P(1+R1100)(1−R2100)59400=P(1+20100)(1−10100)59400=P(1.2×0.9)59400=P×1.08P=594001.08=55000A = P \left(1 + \frac{R_1}{100}\right) \left(1 - \frac{R_2}{100}\right) \\ 59400 = P \left(1 + \frac{20}{100}\right) \left(1 - \frac{10}{100}\right) \\ 59400 = P (1.2 \times 0.9) \\ 59400 = P \times 1.08 \\ P = \frac{59400}{1.08} = 55000
Original price = ₹55,000