From his monthly salary, Shyam invests `15%` in a scheme, `25%` he pays as EMI towards a Ioan and `40%` he keeps aside for his monthly expenses. If the remaining ₹4800 he keeps in his bank account, what is his monthly salary?

Options

A. ₹ 32000
B. ₹ 40000
C. ₹ 24000
D. ₹ 36000

Answer

To solve the problem step by step, we will first define Shyam's monthly salary and then calculate how much he spends and saves based on the percentages given.

### Step 1: Define Shyam's Monthly Salary
Let Shyam's monthly salary be represented as \( S \).

### Step 2: Calculate the Amounts Based on Percentages
1. **Investment in a scheme**:
Shyam invests 15% of his salary.
\[ \text{Investment} = 0.15S \]

2. **EMI payment**:
Shyam pays 25% of his salary as EMI.
\[ \text{EMI} = 0.25S \]

3. **Monthly expenses**:
Shyam keeps aside 40% of his salary for monthly expenses.
\[ \text{Expenses} = 0.40S \]

### Step 3: Calculate the Total Amount Spent
Now, we can calculate the total amount that Shyam spends or keeps aside:
\[ \text{Total spent} = \text{Investment} + \text{EMI} + \text{Expenses} \]
Substituting the values we calculated:
\[ \text{Total spent} = 0.15S + 0.25S + 0.40S = 0.80S \]

### Step 4: Calculate Remaining Amount
The remaining amount that Shyam keeps in his bank account is:
\[ \text{Remaining amount} = S - \text{Total spent} = S - 0.80S = 0.20S \]

### Step 5: Set Up the Equation
According to the problem, the remaining amount is ₹4800:
\[ 0.20S = 4800 \]

### Step 6: Solve for Shyam's Monthly Salary
To find \( S \), divide both sides of the equation by 0.20:
\[ S = \frac{4800}{0.20} = 24000 \]

### Conclusion
Shyam's monthly salary is ₹24,000.