Satish saves `20%` of his monthly salary. And of the remaining salary, `1/4` th and `1/2`nd part he gives to his mother and sister respectively and the remaining salary he submits as his EMI for the payment of his car. If his annual EMI was Rs60,000, find his monthly salary.

Options

A. Rs 40,000
B. Rs 35,000
C. ₹ 32,000
D. ₹ 25,000

Answer

To find Satish's monthly salary based on the information provided, we can break down the problem step by step.

### Step-by-Step Solution:

1. **Let the Monthly Salary be Represented as**:
\[ S = 100x \]
Here, we use \(100x\) to simplify calculations involving percentages.

2. **Calculate the Amount Saved**:
Satish saves \(20\%\) of his monthly salary:
\[ \text{Savings} = 20\% \text{ of } S = 0.20 \times 100x = 20x \]

3. **Calculate the Remaining Salary**:
After saving, the remaining salary is:
\[ \text{Remaining Salary} = S - \text{Savings} = 100x - 20x = 80x \]

4. **Distribute the Remaining Salary**:
- He gives \( \frac{1}{4} \) of the remaining salary to his mother:
\[ \text{Amount to Mother} = \frac{1}{4} \times 80x = 20x \]
- He gives \( \frac{1}{2} \) of the remaining salary to his sister:
\[ \text{Amount to Sister} = \frac{1}{2} \times 80x = 40x \]

5. **Calculate the Amount Left for EMI**:
The amount left after giving to his mother and sister is:
\[ \text{Remaining for EMI} = \text{Remaining Salary} - \text{Amount to Mother} - \text{Amount to Sister} \]
\[ = 80x - 20x - 40x = 20x \]

6. **Relate EMI to Monthly Salary**:
We know that the annual EMI is Rs. 60,000, so the monthly EMI is:
\[ \text{Monthly EMI} = \frac{60,000}{12} = 5,000 \]
Since the remaining amount for EMI is \(20x\), we can set up the equation:
\[ 20x = 5,000 \]

7. **Solve for \(x\)**:
\[ x = \frac{5,000}{20} = 250 \]

8. **Calculate the Monthly Salary**:
Now, substituting \(x\) back into the expression for the monthly salary:
\[ S = 100x = 100 \times 250 = 25,000 \]

### Conclusion:
Satish's monthly salary is **Rs. 25,000**.