The population of a town increases by 16% each year. If the population at the beginning of this year is 18,750, what will the population be at the end of next year?

Question

Question

This question was previously asked in

RPF Constable 2024 Official Paper (Held On 03 Mar, 2025 Shift 2)

Answer 1

Given:

Current population at the beginning of this year (P) = 18,750

Annual increase rate (R) = 16%

Time period (n) = 2 years (end of next year means two years from the beginning of this year)

Formula Used:

Population after n years with a constant annual increase rate = \(P(1 + \frac{R}{100})^n\)

Calculation:

\(P_2 = 18750(1 + \frac{16}{100})^2 = 18750(1.16)^2\)

P₂ = 18750 × 1.3456

P₂ = 25230

The population at the end of next year will be 25,230.