The population of a town is 8,500. In first year it was increased by 20% and in second year again increased by 25%, then what is the total population after two years ?

Question

Accepted Answer

To determine the total population of the town after two years, we need to calculate the population increase year by year based on the given percentages.

1. **First Year Increase:**
   - Initial population = 8,500
   - Increase in the first year = 20% of 8,500
   - Calculation: $ 8,500 \times \frac{20}{100} = 1,700 $
   - New population after the first year = 8,500 + 1,700 = 10,200

2. **Second Year Increase:**
   - Population at the start of the second year = 10,200
   - Increase in the second year = 25% of 10,200
   - Calculation: $ 10,200 \times \frac{25}{100} = 2,550 $
   - New population after the second year = 10,200 + 2,550 = 12,750

Therefore, the total population after two years is 12,750, which corresponds to Option 2.

**Explanation for Incorrect Options:**

- **Option 1 (10,950):** This option is incorrect because it does not account for the correct percentage increases over the two years. The calculations show that the population after two years is significantly higher than 10,950.

- **Option 3 (11,950):** This option is incorrect because it underestimates the population growth. The calculations clearly show that the population after two years is 12,750, not 11,950.

- **Option 4 (12,550):** This option is incorrect because it slightly underestimates the final population. The correct calculation results in a population of 12,750, not 12,550.

In conclusion, the correct answer is Option 2 (12,750), as it accurately reflects the population after applying the specified percentage increases over the two years.