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The question in the image asks:

**Q.4** In 2021-2022, if the income of Foreign Banks is four times its expenditure, what will be the approximate ratio of income to the expenditure of Foreign Banks in 2022-2023?

### Given Data:
- For **Foreign Banks**, the increase in:
  - Income: 8% in 2021-2022, 12% in 2022-2023
  - Expenditure: 2% in 2021-2022, 11% in 2022-2023
- **Assumption** for 2021-2022: Income = 4 × Expenditure

### Solution:

Let’s assume the expenditure of foreign banks in 2021-2022 is **E**. Then the income in 2021-2022 is:
\[
I = 4E
\]

Now, the income and expenditure increase in 2022-2023 are based on the percentage increases.

1. **Expenditure in 2022-2023**: It increased by 11% from the previous year, so:
   \[
   \text{Expenditure in 2022-2023} = E \times (1 + \frac{11}{100}) = 1.11E
   \]

2. **Income in 2022-2023**: It increased by 12% from the previous year, so:
   \[
   \text{Income in 2022-2023} = (4E) \times (1 + \frac{12}{100}) = 4E \times 1.12 = 4.48E
   \]

### Ratio of Income to Expenditure in 2022-2023:
\[
\frac{\text{Income}}{\text{Expenditure}} = \frac{4.48E}{1.11E} = \frac{4.48}{1.11} \approx 4.04 \approx 4:1
\]

### Answer:
The ratio of income to expenditure in 2022-2023 is approximately **4:1**.

The correct option is **(2) 4:1**.

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Here are some related questions:
1. What if the income was three times the expenditure in 2021-2022? How would that affect the 2022-2023 ratio?
2. How does a percentage increase in income and expenditure influence overall bank profitability?
3. What would be the ratio if the expenditure grew faster than income in 2022-2023?
4. Can you calculate the exact income and expenditure values for Foreign Banks in 2021-2022?
5. How would a decrease in the income growth rate affect future ratios?

**Tip:** Always check how percentage increases affect the base year values before solving ratio problems.

In 2021-2022, if the income of Foreign Banks is four times its expenditure, what will be the approximate ratio of income to the expenditure of Foreign Banks in 2022-2023?

Solve a problem on calculating the ratio of income to expenditure of Foreign Banks in 2022-2023 given a percentage increase in both. Understand key algebraic concepts and percentage growth. Suitable for Grades 9-11 students.

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