A man has to pay Rs. 360 more as income tax when the rate of income tax is raised from 5 paise to 8 paise per rupee. His gross income is

Let's solve the problem step by step.

### Problem Breakdown:
1. **Income Tax Calculation:**
   - The tax rate is initially \(5\) paise per rupee.
   - The tax rate is then raised to \(8\) paise per rupee.

2. **Additional Tax Paid:**
   - The man has to pay an additional Rs. 360 when the tax rate is increased from 5 paise to 8 paise.

### Let the gross income be \( x \) rupees.

- **Initial Tax Calculation:**
  - Tax at 5 paise per rupee = \( 0.05x \) rupees.

- **New Tax Calculation:**
  - Tax at 8 paise per rupee = \( 0.08x \) rupees.

- **Difference in Tax (which is Rs. 360):**
  \[
  0.08x - 0.05x = 360
  \]

- **Simplify the equation:**
  \[
  0.03x = 360
  \]

- **Solve for \( x \):**
  \[
  x = \frac{360}{0.03} = 12,000
  \]

### Final Answer:
The man's gross income is **Rs. 12,000**.

Would you like more details on any part of this solution? 

Here are some related questions you might consider:
1. How would the result change if the income tax was initially 6 paise per rupee instead of 5?
2. What is the total income tax paid after the rate increase?
3. How would the additional tax change if his gross income was Rs. 15,000?
4. What percentage of his gross income is now paid as tax after the rate increase?
5. If the tax rate is further increased to 10 paise per rupee, how much additional tax will he pay?

**Tip:** When dealing with income tax calculations, always ensure you convert paise per rupee into its decimal equivalent for easier computation.

Understand how to calculate additional income tax when the tax rate increases from 5 paise to 8 paise per rupee. Step-by-step solution provided with the main concepts of percentages and equations. Suitable for Grades 7-9 students.

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