A man who spends `72%` of his income is able to save Rs 6300 per month. Find his
monthly income and

Answer

To find the monthly income of the man who spends 72% of his income and saves Rs 6300 per month, we can follow these steps:

### Step 1: Define the variables
Let \( x \) be the monthly income of the man.

### Step 2: Calculate the expenses
The man spends 72% of his income. Therefore, his expenses can be represented as:
\[ \text{Expenses} = 72\% \text{ of } x = \frac{72}{100} \times x = 0.72x \]

### Step 3: Calculate the savings
According to the problem, the man saves Rs 6300 per month. The savings can also be expressed as:
\[ \text{Savings} = \text{Income} - \text{Expenses} = x - 0.72x \]
This simplifies to:
\[ \text{Savings} = 0.28x \]

### Step 4: Set up the equation
We know that the savings amount to Rs 6300. Therefore, we can set up the equation:
\[ 0.28x = 6300 \]

### Step 5: Solve for \( x \)
To find \( x \), we can rearrange the equation:
\[ x = \frac{6300}{0.28} \]

### Step 6: Calculate the value of \( x \)
Now, we can perform the division:
\[ x = \frac{6300}{0.28} = 22500 \]

### Conclusion
The monthly income of the man is Rs 22,500.

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