The ratio of income of A to that of B is 7 : 9. They together save Rs. 10000 and their savings are in the ratio 2 : 3. If the expenditure of B is 25% more than thatof A, then find the total income of A and B.
Given: The ratio of income of A to that of B is 7 : 9 They together save Rs. 10000 and their savings are in the ratio 2 : 3 And the expenditure of B is 25% more than that of A Calculation: Let the income of A and B be 7x and 9x And let their savings are in the ratio 2y and 3y According to question, 2y + 3y = 10000 ⇒ 5y = 10000 So, y = 2000 So, savings of A and B are Rs. 4000 and Rs. 6000 So, the expenditure of A = Rs. (7x – 4000) And the expenditure of B = Rs. (9x – 6000) Now, again according to question (9x – 6000) = 125% of (7x – 4000) ⇒ (9x – 6000) = 5/4 × (7x – 4000) ⇒ 4 (9x – 6000) = 5 (7x – 4000) ⇒ 36x – 24000 = 35x – 20000 So, x = 4000 ∴The total income of A and B = 16x = 16 × 4000 = Rs 64000.