Question

The population of a town is 1,54,000. It increases by 5% during the first year. During the second year it decreases by 10% and increases by 10% during the third year. Then the population of the town after 3 years is
1. 1,61,700
2. 1,60,700
3. 1,60,083
4. 1,70,062

Answer 1

Correct Answer - Option 3 : 1,60,083

Given:

The population of a town = 1,54,000

Population increase during first year = 5% 

Population decrease during second year = 10% 

Population increase during third year = 10% 

Calculation:

The population after first year = 154000 × 105/100 = 161700

⇒ The population after second year = 161700 × 90/100 = 145530

⇒ The population after third year = 145530 × 110/100 = 160083

∴ The population of the town after 3 years is 160083.