The salary of an employee of a company increases every month by 4%.If his salary in August was X 6300,then what would be his approximate salary in month of October of the same year?

Options

A. X 6552
B. X 6967
C. X 6814
D. X 6627

Answer

To find the approximate salary of the employee in October, we will calculate the salary for September first and then for October based on the 4% monthly increase.

### Step-by-Step Solution:

1. **Identify the salary in August**:
The salary in August is given as \( X = 6300 \).

2. **Calculate the salary for September**:
- The salary increases by 4% each month.
- First, calculate 4% of 6300:
\[ \text{4% of 6300} = \frac{4}{100} \times 6300 = 252 \]
- Now, add this increase to the August salary to find the September salary:
\[ \text{Salary in September} = 6300 + 252 = 6552 \]

3. **Calculate the salary for October**:
- Now, calculate 4% of the September salary (6552):
\[ \text{4% of 6552} = \frac{4}{100} \times 6552 = 262.08 \]
- Add this increase to the September salary to find the October salary:
\[ \text{Salary in October} = 6552 + 262.08 = 6814.08 \]

4. **Approximate the October salary**:
- Since we need an approximate value, we can round 6814.08 to 6814.

### Final Answer:
The approximate salary of the employee in October is **6814**.

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