Each question has four options(A), (B), (C) and (D) for answers. Select the right answer and write in English letters in the box against each question in the enclosed answer sheet.
Ram donated 4% of his income to a charity and deposited 10% of the rest in a Bank. If now he has Rs 8640 left with him, then his income is

Options

A. Rs 12,500
B. Rs 12,000
C. Rs 10,500
D. Rs 10,000

Answer

To find Ram's income based on the information provided, we can follow these steps:

### Step-by-Step Solution:

1. **Assume Ram's Income**:
Let's assume Ram's total income is \( x \).

2. **Calculate the Donation**:
Ram donates 4% of his income to charity. Therefore, the amount he donates is:
\[ \text{Donation} = 0.04x \]

3. **Calculate the Remaining Income After Donation**:
After donating, the remaining income is:
\[ \text{Remaining Income} = x - 0.04x = 0.96x \]

4. **Calculate the Bank Deposit**:
Ram deposits 10% of the remaining income in the bank. Therefore, the amount he deposits is:
\[ \text{Deposit} = 0.10 \times 0.96x = 0.096x \]

5. **Calculate the Income Left After Deposit**:
The income left with Ram after the deposit is:
\[ \text{Income Left} = 0.96x - 0.096x = 0.864x \]

6. **Set Up the Equation**:
According to the problem, the income left with Ram is Rs 8640. Therefore, we can set up the equation:
\[ 0.864x = 8640 \]

7. **Solve for \( x \)**:
To find \( x \), divide both sides by 0.864:
\[ x = \frac{8640}{0.864} \]
\[ x = 10000 \]

### Conclusion:
Ram's total income is Rs 10,000.