In the previous question, if the difference in the rate of income tax be 9 (in percent) then the income tax paid by me :

Options

A. Rs. 2000
B. Rs. 2400
C. Rs. 1600
D. none of these

Answer

To solve the problem regarding the income tax paid, we need to analyze the information given about the difference in the rate of income tax, which is 9%. Let's break it down step by step.

### Step-by-Step Solution:

1. **Understand the Problem**: We are given that the difference in the rate of income tax is 9%. We need to determine the income tax paid based on this percentage.

2. **Define Income and Tax Rates**: Let's assume:
- The original income before tax is \( I \).
- The original income tax rate is \( R_1 \) (in percent).
- The new income tax rate is \( R_2 \) (in percent).
- According to the problem, \( R_2 - R_1 = 9 \).

3. **Calculate the Income Tax Paid**:
- The income tax paid at the original rate \( R_1 \) is given by:
\[ \text{Income Tax Paid} = I \times \frac{R_1}{100} \]
- The income tax paid at the new rate \( R_2 \) is given by:
\[ \text{New Income Tax Paid} = I \times \frac{R_2}{100} \]

4. **Express \( R_2 \) in terms of \( R_1 \)**:
- From the difference in rates, we can express \( R_2 \) as:
\[ R_2 = R_1 + 9 \]

5. **Substituting \( R_2 \) in the New Income Tax Paid**:
- Now substituting \( R_2 \) in the equation for new income tax paid:
\[ \text{New Income Tax Paid} = I \times \frac{R_1 + 9}{100} \]

6. **Calculate the Difference in Tax Paid**:
- The difference in tax paid due to the change in rates is:
\[ \text{Difference} = \text{New Income Tax Paid} - \text{Income Tax Paid} \]
- Substituting the values:
\[ \text{Difference} = \left(I \times \frac{R_1 + 9}{100}\right) - \left(I \times \frac{R_1}{100}\right) \]
- Simplifying this gives:
\[ \text{Difference} = I \times \frac{9}{100} \]

7. **Final Expression for Income Tax Paid**:
- Therefore, the income tax paid by you at the new rate is:
\[ \text{Income Tax Paid} = I \times \frac{R_1 + 9}{100} \]