Question

The population of the village of Rampur is 10,000 at this moment. It increased by 10% in the first year. However, in the second year, due to immigration, the population drops by 5%. Find the population the end of the third year if in the third the population increased by 20%.

• A. 12,340
• B. 12,540
• C. 1,27,540
• D. 12,440

Answer 1

The correct option is B 12,540

P = 10000, x = +10%, y = -5%, z = 20%
Population at the end of third year

$=P(1+\frac{x}{100})(1+\frac{y}{100})(1+\frac{20}{100})$

$=10000(1+\frac{10}{100})(1-\frac{5}{100})(1+\frac{20}{100})$

= 12540