Question

The present population of a town is 20000, it increases 2% every year. The population of the town after 2 years will be ______.

Options

• 20808

• 20804

• 20800

• 20400

Answer 1

The present population of a town is 20000, it increases 2% every year. The population of the town after 2 years will be 20808.

Explanation:

The present population of the town is 20,000 and it increases by 2% every year.

To find the population after 2 years, we use the compound growth formula:

`P = P_0(1 + r/100)^n`

Where:

• P₀ = 20000 present population
• r = 2% rate of increase
• n = 2 years

Calculating:

`P = 20000 xx (1 + 2/100)^2`

P = 20000 × (1.02)²

P = 20000 × 1.0404

P = 20808

So, the population of the town after 2 years will be 20,808.