A person's salary has increased from Rs. 7200 to Rs. 8100 . What is the percentage increase in his salary ?

Options

A. `25%`
B. `18%`
C. `16(2)/(3)`
D. `12(1)/(2)`%

Answer

To find the percentage increase in a person's salary from Rs. 7200 to Rs. 8100, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Initial and Final Salaries**:
- Initial Salary (Original Salary) = Rs. 7200
- Final Salary (New Salary) = Rs. 8100

2. **Calculate the Change in Salary**:
- Change in Salary = Final Salary - Initial Salary
- Change in Salary = Rs. 8100 - Rs. 7200 = Rs. 900

3. **Use the Percentage Increase Formula**:
- The formula for percentage increase is:
\[ \text{Percentage Increase} = \left( \frac{\text{Change}}{\text{Initial}} \right) \times 100 \]

4. **Substitute the Values into the Formula**:
- Substitute the Change and Initial Salary into the formula:
\[ \text{Percentage Increase} = \left( \frac{900}{7200} \right) \times 100 \]

5. **Calculate the Fraction**:
- First, simplify the fraction:
\[ \frac{900}{7200} = \frac{1}{8} \]
- Now, multiply by 100:
\[ \text{Percentage Increase} = \left( \frac{1}{8} \right) \times 100 = 12.5\% \]

6. **Final Result**:
- The percentage increase in the salary is **12.5%**.