The ratio of the incomes of A and B is 2 : 3 and the ratio of their expenditures 5 : 7. If 7 times the income of A is equal to 6 times the expenditure of B, then what is the ratio of the savings of A and B?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e.1 : 2 .
Let, Income of A = 2x, Income of B = 3x
Expenditure of A = 5y, Expenditure of B = 7y
7 × (2x) = 6 × (7y) ⇒14x = 42y ⇒ x = 3y
Now: Income of A = 2x = 2 × 3y = 6y
Savings of A = 6y − 5y = y
Income of B = 3x = 9y
Savings of B = 9y − 7y = 2y
Ratio of saving of A : B = y : 2y = 1 : 2