20% of a man's salary is paid as rent, 60% are his living expenses and 10% are his savings. If he spends remaining ₹30 on the education of his children, find his salary
किसी व्यक्ति के वेतन का 20% भाग किराए पर खर्च होता है, 60% भाग जीवन-यापन पर खर्च होता है और 10% भाग की वह बचत करता है। यदि वह शेष ₹ 30 बच्चों की शिक्षा पर खर्च करे, तो उसका वेतन कितना है?

Options

A. 300
B. 900
C. 3000
D. 9000

Explanation

To find the man's salary based on the given information, we can follow these steps:

### Step 1: Define the Salary
Let the man's salary be represented as \( x \) rupees.

### Step 2: Calculate the Percentages
According to the problem:
- 20% of his salary is spent on rent.
- 60% of his salary is spent on living expenses.
- 10% of his salary is saved.

### Step 3: Determine Remaining Percentage
The total percentage spent on rent, living expenses, and savings is:
\[ 20\% + 60\% + 10\% = 90\% \]
This means that the remaining percentage of his salary, which is spent on the education of his children, is:
\[ 100\% - 90\% = 10\% \]

### Step 4: Set Up the Equation
Since he spends 10% of his salary on education and this amount is given as ₹30, we can set up the equation:
\[ 10\% \text{ of } x = 30 \]
This can be written mathematically as:
\[ \frac{10}{100} \times x = 30 \]

### Step 5: Solve for Salary
To solve for \( x \), we can rearrange the equation:
\[ x = 30 \times \frac{100}{10} \]
Calculating this gives:
\[ x = 30 \times 10 = 300 \]

### Conclusion
Thus, the man's salary is ₹300.