Incomes of A and B are in the ratio of 5:3 and their expenditures are in the ratio of 9:5. If the income of B is equal to the expenditure of A, then what is the ratio of the savings of A and B?

Let the incomes of A and B be 5x and 3x respectively.
Let the expenditures of A and B be 9y and 5y respectively.

Given condition:

Income of B=Expenditure of A
3x=9y⟹x=3y
Now, substitute x=3y into the income values:

Income of A = 5x=5(3y)=15y

Income of B = 3x=3(3y)=9y

Savings = Income - Expenditure

Savings of A = 15y−9y=6y

Savings of B = 9y−5y=4y

Ratio of savings of A and B:

Ratio=
4y
6y
​
=
2
3
​
=3:2