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The population of a city increases at the rate of 4% p.a. but there is an additional annual increase of 1% in the population due to some job seekers. The percentage increase in the population after 2 years is_________?

Correct answer: C. 10.25

  • A. 10
  • B. 11
  • C. 10.25
  • D. 10.15

Explanation

The total annual increase is 4% + 1% = 5%. Over 2 years, the population becomes 1.05 x 1.05 = 1.1025 of the original, so the percentage increase is (1.1025 - 1) x 100 = 10.25%. Students may choose 10% by simply multiplying 5% by 2 and ignoring compound growth.

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Percentages express a quantity as parts per hundred and support calculations involving increases, decreases, discounts, commissions, taxes, and successive changes. Questions require distinguishing percentage change from percentage points and identifying the original value when a final value and its percentage change are given.

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