The ratio of the incomes of A and B is 5 4 and their expenditures is 3 2 If B saves one third of his...........

Quantitative Aptitude ( CCS) Ratio, Proportion

The ratio of the incomes of A and B is 5:4 and their expenditures is 3:2. If B saves one-third of his income, then what is the ratio of their savings?

3:2

3:4

5:3

3:5

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Explanation:

Let us assume that the income is of x and expenditure is y
From the given ratio
The income of A and B is 5x and 4x respectively and their expenditure is 3y and 2y respectively
Income -Expenditure = savings
So savings of A is 5x-3y and that of B is 4x-2y
Ratio of saving of B ie 4x-2y = 4x/3
Solving this , we get y=4x/3
5x-3y = x and
4x-2y = 4x/3
So the ratio of saving of A and B are 3:4