The ratio of the income of A and B is 1 : 2 and that of their expenditure is 2 : 3. If 80% of B's expenditure is equal to the income
of A, then what the ratio of the saving of B to the saving of A?
This questions was previously asked in
SSC MTS 2nd Nov 2021 Shift-2
Explanation:
- Given Ratios:
- Income ratio of A and B: 1 : 2
- Expenditure ratio of A and B: 2 : 3
- Condition Provided:
- 80% of B's expenditure equals A's income.
- Calculations:
1. Let A's income be \( x \) and B's income be \( 2x \).
2. Let A's expenditure be \( 2y \) and B's expenditure be \( 3y \).
3. According to the condition: \( 0.8 \times 3y = x \).
4. Simplifying gives: \( x = 2.4y \).
- Saving Calculation:
1. A's savings = \( x - 2y = 2.4y - 2y = 0.4y \).
2. B's savings = \( 2x - 3y = 4.8y - 3y = 1.8y \).
3. The ratio of B's savings to A's savings = \( \frac{1.8y}{0.4y} = \frac{9}{2} \).
- Correct Option:
- Option 2: \( 9 : 2 \)
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By: santosh