If the population of a town has increased from 60000 to 65000, then the increase in population (in percent) is

Options

A. `7(1)/(4)`
B. `9(9)/(13)`
C. `8(1)/(3)`
D. `8(1)/(9)`

Answer

To find the increase in population in percent, we can follow these steps:

### Step 1: Determine the initial and final populations.
- Initial population = 60000
- Final population = 65000

### Step 2: Calculate the increase in population.
- Increase in population = Final population - Initial population
- Increase in population = 65000 - 60000 = 5000

### Step 3: Use the formula for percentage increase.
The formula for percentage increase is:
\[ \text{Percentage Increase} = \left( \frac{\text{Increase}}{\text{Original Population}} \right) \times 100 \]

### Step 4: Substitute the values into the formula.
- Substitute the increase (5000) and the original population (60000) into the formula:
\[ \text{Percentage Increase} = \left( \frac{5000}{60000} \right) \times 100 \]

### Step 5: Simplify the fraction.
- Simplifying the fraction:
\[ \frac{5000}{60000} = \frac{1}{12} \]

### Step 6: Calculate the percentage.
- Now calculate:
\[ \text{Percentage Increase} = \left( \frac{1}{12} \right) \times 100 \approx 8.33 \]

### Step 7: Final answer.
- Therefore, the increase in population is approximately **8.33%**.

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