The town of Bhopal had a population of 300,000 in 2015 and 330,000 in 2020. Find the average annual growth rate (in percent).

easy 2 marks Class 9 · Geography · Population

Answer

1.93%

The correct answer is 1.93% — Step 4: Subtract 1 and convert to percent: $0.01927 \times 100 \approx 1.93$ .

Step-by-step solution

Step 1: Calculate the growth factor: $\frac{330 , 000}{300 , 000} = 1.1$ .
Step 2: Use the Compound Annual Growth Rate formula: $CAGR = (1.1)^{1/5} - 1$ because the period is 5 years.
Step 3: Compute $(1.1)^{0.2} = e^{0.2 l n 1.1} a pp r o x e^{0.01906} a pp r o x 1.01927$ .
Step 4: Subtract 1 and convert to percent: $0.01927 \times 100 \approx 1.93$ .

Common mistake: Using simple growth rate instead of compounding

Concept tested: Average annual growth rate