A man invested 20% of his monthly income in LIC and remaining gave to his mother . Mother spend 15% of it in household expenses and she was left with Rs. 27,200 then find the salary of man ?

Options

A. Rs. 37,500
B. Rs. 36,000
C. Rs. 38,000
D. Rs. 40,000

Explanation

To solve the problem step by step, we will follow the logical deductions based on the information provided in the question.

### Step 1: Define the Monthly Income
Let the man's monthly income be represented as \( S \).

### Step 2: Calculate the Investment in LIC
The man invests 20% of his monthly income in LIC. Therefore, the amount invested in LIC is:
\[ \text{Investment in LIC} = 0.20 \times S = 0.2S \]

### Step 3: Calculate the Amount Given to His Mother
The remaining amount after the investment in LIC is given to his mother. This amount can be calculated as:
\[ \text{Amount given to Mother} = S - 0.2S = 0.8S \]

### Step 4: Calculate the Amount Spent by His Mother
His mother spends 15% of the amount she received from her son on household expenses. Therefore, the amount spent by her is:
\[ \text{Amount spent by Mother} = 0.15 \times (0.8S) = 0.12S \]

### Step 5: Calculate the Amount Left with His Mother
After spending, the amount left with his mother is:
\[ \text{Amount left with Mother} = (0.8S) - (0.12S) = 0.68S \]

### Step 6: Set Up the Equation
According to the problem, the amount left with his mother is Rs. 27,200. Therefore, we can set up the equation:
\[ 0.68S = 27,200 \]

### Step 7: Solve for \( S \)
To find the man's monthly income \( S \), we can rearrange the equation:
\[ S = \frac{27,200}{0.68} \]

Calculating this gives:
\[ S = 40,000 \]

### Conclusion
The man's monthly income is Rs. 40,000.

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