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GATE 2023 XH2 (English) – Question 15

Reasoning and Comprehension · Quantitative reasoning · 1 mark · Multiple choice

The population of a country increased by 5% from 2020 to 2021. Then, the population decreased by 5% from 2021 to 2022. By what percentage did the population change from 2020 to 2022?

  1. -0.25%
  2. 0%
  3. 2.5%
  4. 10.25%

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Show answer and explanation

Correct answer: (A) -0.25%

Explanation

The population becomes $1.05 \times 0.95 = 0.9975$ times the original, a fall of 0.25%.