Question

The population of a city increases by 5% annually. If the present population is 10,00,000, then the population after 3 years is:

• A. 11,57,620
• B. 11,57,625
• C. 11,57,630
• D. 11,57,635

Hint:

For 3 years at 5%, use the factor $(21/20)^3$.

Answer 1

The Correct Option is B

Step 1: Concept
Compound growth.

Step 2: Analysis
Population = $P(1 + R/100)^n$.
$P = 1,000,000$, $R = 5$, $n = 3$.

Step 3: Calculation
$1,000,000 \times (1.05)^3 = 1,000,000 \times 1.157625$.
$= 11,57,625$.

Step 4: Conclusion
The population after 3 years is 11,57,625. Final Answer: (B)