The population of a city decreased from 25000 to 24500. The percentage of decrease is

Question

Accepted Answer

To determine the percentage decrease in the population of the city, we need to calculate the difference in population and then express this difference as a percentage of the original population.

1. **Calculate the decrease in population:**
   - Original population = 25,000
   - New population = 24,500
   - Decrease in population = 25,000 - 24,500 = 500

2. **Calculate the percentage decrease:**
   - Percentage decrease = (Decrease in population / Original population) × 100
   - Percentage decrease = (500 / 25,000) × 100
   - Percentage decrease = 0.02 × 100
   - Percentage decrease = 2%

The percentage decrease in the population is 2%, which corresponds to Option 2.

**Explanation for why Option 2 is correct:**
- The calculation shows that the percentage decrease is 2%, which matches Option 2. This confirms that Option 2 is the correct answer.

**Explanation for why the other options are incorrect:**
- **Option 1 (0.05):** This option suggests a 0.05% decrease, which is incorrect because the actual decrease is 2%, not 0.05%.
- **Option 3 (0.04):** This option suggests a 0.04% decrease, which is incorrect because the actual decrease is 2%, not 0.04%.
- **Option 4 (0.03):** This option suggests a 0.03% decrease, which is incorrect because the actual decrease is 2%, not 0.03%.

In conclusion, the correct percentage decrease is 2%, which is accurately represented by Option 2.