Option 2 : 13.85%

**Given **

Population increases in 1st years = 15% and 10% respectively

**Calculation:**

Let the current population of village be 100x

Population after 1st year = 100x + 15% of 100x = 115x

Population after 2nd year = 115x + 10% of 115x = 126.5x

Population after 3rd years = 126.5x - 10% of 126.5x = 113.85x

Percentage change in population after 3 years

⇒ (113.85x - 100x)/100x × 100 = 13.85%

**∴ The required answer is 13.85%.**