A incomes of A and B are in the ratio 3 4 and their expenditures are in the ratio 9 5 If the income ...........

Quantitative Aptitude (MTS) Ratio, Proportion

A incomes of A and B are in the ratio 3:4 ,and their expenditures are in the ratio 9:5. If the income of A is equal to three times

the expenditure of B, then what is the ratio of the savings of A and B?

This questions was previously asked in

SSC MTS 12th October 2021 Shift-1

5:2

3:5

5:3

2:5

- Let's introduce variables: Income of A = 3x; Income of B = 4x.

- Expenditures: Expenditure of A = 9y; Expenditure of B = 5y.

- Given that income of A = 3 times the expenditure of B, so: 3x = 3(5y) ? x = 5y.

- A's savings: Income of A - Expenditure of A = 3x - 9y = 15y - 9y = 6y.

- B's savings: Income of B - Expenditure of B = 4x - 5y = 20y - 5y = 15y.

- Ratio of savings of A to B = 6y/15y = 2/5.

Option 4: 2:5 is correct.

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