Ram spends 70% of his salary and deposits 15 % of his salary in the bank. If he is left with Rs. 1500, what is his monthly salary?

Options

A. Rs.10500
B. Rs.10000
C. Rs.9500
D. Rs.9000

Answer

To find Ram's monthly salary, we can follow these steps:

1. **Define the monthly salary**: Let Ram's monthly salary be \( x \).

2. **Calculate the amount spent**: Ram spends 70% of his salary. Therefore, the amount he spends is:
\[ \text{Amount spent} = 0.70x \]

3. **Calculate the amount deposited**: Ram deposits 15% of his salary in the bank. Therefore, the amount he deposits is:
\[ \text{Amount deposited} = 0.15x \]

4. **Calculate the total amount accounted for**: The total amount that Ram has accounted for (spent + deposited) is:
\[ \text{Total accounted} = 0.70x + 0.15x = 0.85x \]

5. **Calculate the cash left**: According to the problem, the amount left with Ram after spending and depositing is Rs. 1500. Therefore, we can express this as:
\[ \text{Cash left} = x - 0.85x = 0.15x \]
Setting this equal to Rs. 1500 gives us:
\[ 0.15x = 1500 \]

6. **Solve for \( x \)**: To find \( x \), we can rearrange the equation:
\[ x = \frac{1500}{0.15} \]
Calculating the right side:
\[ x = 1500 \div 0.15 = 10000 \]

7. **Conclusion**: Therefore, Ram's monthly salary is Rs. 10,000.