The population of a town is increased from 54500 to 58500 in one year. What is the percentage increase in the population?

Options

A. 4.34%
B. 7.34%
C. 5.34%
D. 6.34%

Answer

To find the percentage increase in the population of the town, we can follow these steps:

### Step 1: Determine the Initial and Final Population
- The initial population (P1) is 54,500.
- The final population (P2) is 58,500.

### Step 2: Calculate the Increase in Population
- The increase in population can be calculated by subtracting the initial population from the final population:
\[ \text{Increase} = P2 - P1 = 58,500 - 54,500 = 4,000 \]

### Step 3: Calculate the Percentage Increase
- The percentage increase is calculated using the formula:
\[ \text{Percentage Increase} = \left( \frac{\text{Increase}}{\text{Initial Population}} \right) \times 100 \]
- Substituting the values we have:
\[ \text{Percentage Increase} = \left( \frac{4,000}{54,500} \right) \times 100 \]

### Step 4: Perform the Calculation
- First, calculate the fraction:
\[ \frac{4,000}{54,500} \approx 0.07339 \]
- Now, multiply by 100 to convert it to a percentage:
\[ 0.07339 \times 100 \approx 7.339\% \]

### Step 5: Round Off the Result
- Rounding off 7.339% gives us approximately 7.34%.

### Final Answer
- The percentage increase in the population is approximately **7.34%**.

---