Question

The population of a state is 20000. It increases by 20% during the first year and 30% during the second year. The population after two years will be:

• A. 32000
• B. 40000
• C. 31200
• D. 30000

Hint:

For successive percentage changes, multiply by \((1 + r_1)\) and then \((1 + r_2)\).

Answer 1

The Correct Option is C

Step 1: Understanding the Concept:
Apply successive percentage increase.

Step 2: Detailed Explanation:
After first year: \(20000 × 1.20 = 24000\)
After second year: \(24000 × 1.30 = 31200\)

Step 3: Final Answer:
Population after two years is 31200.