Question

The population of a town increases 10% in the first year and decreases 12% in the second year. If its present population is 118000, find its population after 2 years.

Answer 1

Given:

• The population increases 10% in the first year.
• The population decreases 12% in the second year.
• Present population = 118,000.

Step-wise calculation:

1. Calculate population after the first year:

`P_1 = 118000 xx (1 + 10/100)`

P₁ = 118000 × 1.10

P₁ = 129800

2. Calculate population after the second year 12% decrease on P₁:

`P_2 = 129800 xx (1 - 12/100)`

P₂ = 129800 × 0.88

P₂ = 114224

The population of the town after 2 years will be 114,224.