RRB RPF RPSF SI and CONS Model Papers 10 with solutions

(3) Let the incomes of two persons (A and B) be Rs. 2x and Rs. 3x respectively. Again let the expenditures of A and B be Rs. 5y and Rs. 9y respectively.
∴2x– 5y = 600 ...(i)
3x – 9y = 600 ...(ii)
From equations (i) and (ii),
2x – 5y = 3x – 9y
⇒ x = 4y
From equation (i),
2 × 4y – 5y = 600
⇒ 3y = 600 = y = 200
∴ x = 4 × 200 = 800
∴ A’s income = 2x = 2 × 800 = Rs. 1600
B’s income = 3x = 3 × 800 = Rs. 2400