The ratio of the incomes of A and B is 11 : 13 and the ratio of their expenditures is 9 : 11. If both of them manage to save ₹4,000 per month, then find the difference in their incomes (in₹) |
2,500 3,200 4,000 3,000 |
4,000 |
A : B Income 11 : 13 Expenditure 9 : 11 Savings = - 4000 -4000 (Income - Expenditure)
$\frac{11R\;-\;4000}{13R\;-\;4000} = \frac{9}{11}$ Using cross - multiplication, 121R - 117R = (9 x -4000) - (11 x -4000) 4R = 2 x 4000 ⇒ R = 2000 Difference in the income of A and B = 2R = 2 x 2000 = 4000 |