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?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 3 : 2.
Let incomes: A = 5x, B = 3x
Expenditures: A = 9y, B = 5y
B’s income = A’s expenditure
⇒ 3x = 9y
⇒ x = 3y
A's savings = 5x - 9y = 5(3y) - 9y = 15y - 9y = 6y
B's savings = 3x - 5y = 3(3y) - 5y = 9y - 5y = 4y
Ratio = 6y : 4y = 3 : 2