The ratio of incomes of A and B is 3 : 8 and the ratio of their savings is 9 : 25. If the income of A equals the expenditure of B, then the ratio of expenditures of A and B is:
Answer & explanation
Correct answer: option 4
A : B
Income 3 : 8
Savings 9 : 25
⇒ Income = 3x : 8x
⇒ Savings = 9y : 25y
According to the question,
⇒ 3x = 8x - 25y.
⇒ 8x - 3x = 25y
⇒ 5x = 25y
⇒ x : y = 25 : 5 = 5 : 1
⇒ Expenditure of A = 3x - 9y = 3(5) - 9(1) = 15 - 9 = 6
⇒ Expenditure of B = 8x - 25y = 8(5) - 25(1) = 40 - 25 = 15
⇒ Ratio = 6 : 15 = 2 : 5.