The ratio of the income of A and B is 1 2 and that of their expenditure is 2 3 If 80 of B 39 s expen...........

Quantitative Aptitude (MTS) Ratio, Proportion

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

2 : 9

9 : 2

7 : 3

3 : 7

- 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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