The monthly incomes of A and B are in the ratio 3:5 and the ratio of their savings is 2:3. If the income of B is equal to three times the savings of A. then what is the ratio of the expenditures of A and B?
Let the monthly income of A and B be 300 and 500 and the savings be 2x and 3x respectively ⇒ 500 = 3 × 2x ⇒ 500 = 6x ⇒ x = 250/3 Expenditure of A = Income of A – Savings of A ⇒ 300 – 2 × (250/3) ⇒ (900 – 500)/3 ⇒ 400/3 Expenditure of B = Income of B – Savings of B ⇒ 500 – 3 × (250/3) ⇒ 500 – 250 ⇒ 250 Ratio of expenditure of A and B = (400/3)/250 ⇒ 400/750 ⇒ 8/15 ∴ The ratio of the expenditures of A and B is 8 ∶ 15
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