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SSC CHSL 2025 PYQ — Question 58

SSC CHSL - 13 Nov 2025 - Shift 1 • Quantitative Aptitude • Q58

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The population of a city increases by 25% in the first year and decreases by 20% in the second year. What is the net percentage change after 2 years?

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Correct answer: B

Explanation

Increase in the first year = 25%
Decrease in the second year = 20%
According to the formula:
Final Value = Initial Value ×(1+a100)(1−b100)\times \left(1 + \frac{a}{100}\right) \left(1 - \frac{b}{100}\right)
Let the initial population be 100.
After the first year = 100 × 1.25 = 125
After the second year = 125 × 0.8 = 100
Therefore, the final population = 100
Net change = 100 − 100 = 0%