The pie chart represents the income distribution among four earning members of a family in 2016 as follows:

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1759327504/aptidude_questions/svhxnnweorvlbt9ikdpz.png)

If the expenditures of A and B are equal, what is the difference between the savings of A and B expressed as a percentage of the income of D?

Question

The pie chart represents the income distribution among four earning members of a family in 2016 as follows:

![image.png](https://res.cloudinary.com/aptidude/image/upload/v1759327504/aptidude_questions/svhxnnweorvlbt9ikdpz.png)

If the expenditures of A and B are equal, what is the difference between the savings of A and B expressed as a percentage of the income of D?

Accepted Answer

**Solution:**

1. Let the total family income be $100$ units for simplicity.

2. Income of each member:
   - A = $25$ units
   - B = $35$ units
   - C = $30$ units
   - D = $10$ units

3. Let the expenditure of A and B be equal, say $E$ units each.

4. Savings of A = Income of A - Expenditure = $25 - E$

5. Savings of B = Income of B - Expenditure = $35 - E$

6. Difference between savings of A and B:
   $$ (35 - E) - (25 - E) = 35 - E - 25 + E = 10 $$

7. Income of D = $10$ units.

8. Required percentage = $$ \frac{	ext{Difference between savings of A and B}}{	ext{Income of D}} 	imes 100 = \frac{10}{10} 	imes 100 = 100\% $$

**Answer:** $100\%$

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