The ratio of income to expenditure of a family is 7:6. Find the savings if the income is ₹ 14000.

Answer

To solve the problem step by step, we will follow the given information about the ratio of income to expenditure and the income amount.

### Step-by-Step Solution:

1. **Understand the Ratio**:
The ratio of income to expenditure is given as 7:6. This means for every 7 parts of income, there are 6 parts of expenditure.

2. **Set Up the Equation**:
Let the income be represented as 7x and the expenditure as 6x, where x is a common multiplier.

3. **Substitute the Income**:
We know the income is ₹14,000. Therefore, we can set up the equation:
\[ 7x = 14000 \]

4. **Solve for x**:
To find the value of x, divide both sides of the equation by 7:
\[ x = \frac{14000}{7} = 2000 \]

5. **Calculate Expenditure**:
Now that we have the value of x, we can find the expenditure:
\[ \text{Expenditure} = 6x = 6 \times 2000 = 12000 \]

6. **Calculate Savings**:
Savings can be calculated by subtracting the expenditure from the income:
\[ \text{Savings} = \text{Income} - \text{Expenditure} = 14000 - 12000 = 2000 \]

7. **Final Answer**:
The savings of the family is ₹2,000.