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CA Foundation · Quantitative Aptitude · Sequence and Series

The population of a town increases by 10% every year. If the present population is 50,000, what will it be after 2 years?

The population will be 60,500. Growth at 10% per year compounds, so the population is multiplied by 1.1 twice, which is 1.21. Multiplying 50,000 by 1.21 gives 60,500. Simple growth would wrongly give 60,000.

  1. A60,000
  2. B60,500Correct
  3. C55,000
  4. D61,000

Explanation

Population forms a GP with ratio 1.1: 50,000 × 1.21 = 60,500. The option 60,000 uses simple growth of 10% of the original each year, which ignores compounding.

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