Suppose that the incomes of A and B are 5x and 3x respectively and their expenses are 8y and 5y respectively. Savings of A=5x–8y Savings of B=3x–5y From question, Savings of A = 36,000 × 2/3 = Rs. 24,000 And Savings of B = 36000 × 1/3 = Rs. 12,000 ∴ 5x–8y=24000 ...(i) 3x–5y=12,000.....(ii) Multiplying Eq. (i) by 3 Eq. (ii) by 5 and subtract (ii) from (i) we get, 15x–24y=72000 15x–25y=60000 +− –––––––––––––––– y=12000 putting the value of y in Eqn. (ii) ∴x=
12000+60000
3
=24,000 ∴ Annual income of A =5×24,000 =1,20,000 ∴ Monthly income=Rs.10,000