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₹)
Answer & explanation
Correct answer: option 3
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