The ratio of monthly income to the savings of a faimly is `11 : 2`. If the savings be Rs 2500, find the income and expenditure.

Answer

To solve the problem, we need to find the monthly income and expenditure of the family given the ratio of income to savings and the amount of savings.

### Step-by-Step Solution:

1. **Understand the Ratio**:
The ratio of monthly income to savings is given as 11:2. This means for every 11 parts of income, there are 2 parts of savings.

2. **Set Up the Equation**:
Let the monthly income be represented as \( I \) and the savings be represented as \( S \). According to the ratio, we can express this relationship as:
\[ \frac{I}{S} = \frac{11}{2} \]

3. **Substitute the Value of Savings**:
We know that the savings \( S \) is Rs. 2500. We can substitute this value into the equation:
\[ \frac{I}{2500} = \frac{11}{2} \]

4. **Cross-Multiply to Solve for Income**:
To find \( I \), we can cross-multiply:
\[ 2I = 11 \times 2500 \]

5. **Calculate the Right Side**:
Now, calculate \( 11 \times 2500 \):
\[ 11 \times 2500 = 27500 \]
So, we have:
\[ 2I = 27500 \]

6. **Divide by 2 to Find Income**:
Now, divide both sides by 2 to find \( I \):
\[ I = \frac{27500}{2} = 13750 \]
Therefore, the monthly income \( I \) is Rs. 13750.

7. **Calculate Expenditure**:
Expenditure can be calculated using the formula:
\[ \text{Expenditure} = \text{Income} - \text{Savings} \]
Substituting the known values:
\[ \text{Expenditure} = 13750 - 2500 = 11250 \]

### Final Answers:
- Monthly Income: Rs. 13750
- Monthly Expenditure: Rs. 11250