Lesson eLearning

The population of the village of Chhoti Khola increased from 12,000 in 2011 to 15,000 in 2021. Calculate the average annual growth rate (in %).

medium 3 marks Class 9 · Geography · Population
Answer
Approximately 2.3 % per annum

The correct answer is Approximately 2.3 % per annum — Subtract 1 and multiply by 100: (1.0226 – 1) × 100 ≈ 2.26% ≈ 2.3%.

Step-by-step solution

  1. Let P₀=12,000 (2011), P₁=15,000 (2021), n=10 years.
  2. Use the formula r = [(P₁/P₀)^(1/n) – 1] × 100%.
  3. Compute P₁/P₀ = 15,000 ÷ 12,000 = 1.25.
  4. Take the 10th root: 1.25^(0.1) ≈ 1.0226.
  5. Subtract 1 and multiply by 100: (1.0226 – 1) × 100 ≈ 2.26% ≈ 2.3%.
Common mistake: Forgetting to take the nth root or misusing the time period

Concept tested: Population growth rate calculation

Published · How this solution was prepared and checked

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