The income of A is 2/3 of B's income and the expenditure of A is 3/4 of B's expenditure. If 1/3 of the income of B is equal to the expenditure of A, then the ratio of the savings of A to those of B is:

The income of A is 2/3 of B's income and the expenditure…

The income of A is $\frac{2}{3}$ of B's income and the expenditure of A is $\frac{3}{4}$ of B's expenditure. If $\frac{1}{3}$ of the income of B is equal to the expenditure of A, then the ratio of the savings of A to those of B is:

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 3 : 5

According to the question,

	Income	Expenditure	Savings
A	2x	3y
B	3x	4y

1/3 of 3x = 3y

x = 3y

So the above table will looks like that,

	Income	Expenditure	Savings
A	6y	3y	3y
B	9y	4y	5y

Ratio of their savings = 3y : 5y = 3 : 5

SSC CGL 2022 PYQ — Question 29