The current population of a city is 11,02,500. If it has been increasing at the rate of 5% per annum, what was its population 2 years ago? A. 9,32,500 B. 9,95,006 C. 10,00,000 D. 12,51,506
GATE 2021 · General Aptitude · Compound Interest · medium
Answer: Population 2 years ago = 10,00,000 (Option C)
- Set up the compound growth formula: 11,02,500 = P * (1.05)^2 = P * 1.1025
- Solve for P: P = 11,02,500 / 1.1025 = 11,02,500 / (1.05)^2 = 10,00,000