If a man after spending 85% of the income he saves Rs 4560 per month, then his monthly income is

Options

A. Rs 32800
B. Rs 31600
C. Rs 30400
D. None of these

Answer

To find the monthly income of the man who saves Rs 4560 after spending 85% of his income, we can follow these steps:

### Step 1: Define the Monthly Income
Let the monthly income be \( x \).

### Step 2: Calculate the Expenditure
The man spends 85% of his income, which can be expressed as:
\[ \text{Expenditure} = 0.85x \]

### Step 3: Calculate the Savings
According to the problem, the savings after expenditure is Rs 4560. The savings can be calculated as:
\[ \text{Savings} = \text{Income} - \text{Expenditure} \]
Substituting the values we have:
\[ 4560 = x - 0.85x \]

### Step 4: Simplify the Equation
Now, simplify the equation:
\[ 4560 = 0.15x \]

### Step 5: Solve for \( x \)
To find \( x \), divide both sides by 0.15:
\[ x = \frac{4560}{0.15} \]

### Step 6: Calculate the Value
Now, we can calculate \( x \):
\[ x = \frac{4560 \times 100}{15} = \frac{456000}{15} \]
Calculating this gives:
\[ x = 30400 \]

### Conclusion
Thus, the monthly income of the man is Rs 30,400.

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