Question

The average monthly income of X and Y is Rs 5050. The average monthly income of Y and Z is Rs 6250 and the average monthly income of X and Z is Rs 5200. The monthly income of X is 

(a) Rs 4050 

(b) Rs 3500 

(c) Rs 4000 

(d) Rs 5000

Answer 1

Answer is: (c) Rs 4000.

Total income of (X + Y) = 2 × Rs 5050 = Rs 10100 

Total income of (Y + Z) = 2 × Rs 6250 = Rs 12500 

Total income of (Z + X) = 2 × Rs 5200 = Rs 10400

∴ 2 (X + Y + Z) = Rs 10100 + Rs 12500 + Rs10400 = Rs 33000 

⇒ X + Y + Z = Rs 16500 

∴ X’s monthly income = (X + Y + Z) – (Y + Z) = Rs 16500 – Rs 12500 = Rs 4000.