The ratio of monthly income of A and B is 6 : 5 and their expenditure are in the ratio of 4 : 3. If each of them saves Rs. 400 per month, find the sum of their monthly incomes ?

Correct Answer: Rs. 2200
Income of A : B = 6 : 5 = 6A : 4B
Expenditure of A : B = 4 : 3 = 4A : 3B
Saving of A and B = 400;
∴ 6A - 4A = 400
⇒ A = 200
And 5B - 3B = 400
⇒ B = 200
Income of A = 6 × 200 = 1200
Income of B = 5 × 200 = 1000
Sum of the Income of A and B = 1200 + 1000 = Rs. 2200