From 2011 to 2014, a town’s population is increasing at the rate of 2% annually. If its population was 13,265 in 2014, then what would have been its population (Approximately) in 2011?

Question

Question

This question was previously asked in

SSC GD Constable (2022) Official Paper (Held On : 27 Jan 2023 Shift 3)

Answer 1

Given:

Population in 2014 = 13,265

Population is increasing at a rate of 2% annually

Concept:

We need to find the population in 2011.

Solution:

Let the population in 2011 be P.

From 2011 to 2014, the population has increased by 2% each year.

So, the population in 2014 is 1.02³ × P.

Given that the population in 2014 is 13,265:

⇒ 1.02³ × P = 13,265

⇒ P = 13,265/(1.02³)

Calculating the value, we find:

⇒ P ≈ 12,500

Therefore, the population in 2011 would have been approximately 12,500.