Ajay spends 25 per cent of his salary on house rent , 5 per cent on food , 15 per cent on travel , 10 per cent on clothes and the remaining amount of Rs. 27,000 is saved. What is Ajay's income ?

Options

A. Rs. 60,000
B. Rs. 80,500
C. Rs. 60,700
D. Rs. 70,500

Explanation

To find Ajay's income based on his expenditures and savings, we can follow these steps:

### Step 1: Understand the problem
Ajay spends a certain percentage of his salary on various expenses and saves the remaining amount. We need to find out his total income.

### Step 2: Define Ajay's total income
Let's denote Ajay's total income as \( I \).

### Step 3: Calculate the total percentage spent
Ajay's expenditures are as follows:
- House rent: 25% of \( I \)
- Food: 5% of \( I \)
- Travel: 15% of \( I \)
- Clothes: 10% of \( I \)

Now, we can add these percentages together:
\[ 25\% + 5\% + 15\% + 10\% = 55\% \]

### Step 4: Calculate the percentage saved
Since Ajay saves the remaining amount, we can find the percentage of his income that he saves:
\[ 100\% - 55\% = 45\% \]

### Step 5: Set up the equation for savings
According to the problem, the amount saved is Rs. 27,000. Therefore, we can set up the equation:
\[ 45\% \text{ of } I = 27,000 \]

### Step 6: Convert percentage to decimal
To solve for \( I \), we convert 45% to decimal:
\[ 45\% = \frac{45}{100} = 0.45 \]
So, the equation becomes:
\[ 0.45I = 27,000 \]

### Step 7: Solve for \( I \)
To find \( I \), we divide both sides of the equation by 0.45:
\[ I = \frac{27,000}{0.45} \]

### Step 8: Calculate the value
Now, we perform the division:
\[ I = 60,000 \]

### Conclusion
Ajay's total income is Rs. 60,000.

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