The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is:

Given average pairs

• Avg(P, Q) = 5050 ⇒ P + Q = 10,100
• Avg(Q, R) = 6250 ⇒ Q + R = 12,500
• Avg(P, R) = 5200 ⇒ P + R = 10,400

Step 1: Add (P + Q) and (P + R)
(P + Q) + (P + R) = 10,100 + 10,400 = 20,500Left side = 2P + (Q + R)

Step 2: Substitute (Q + R)
Q + R = 12,500So 2P + 12,500 = 20,500 ⇒ 2P = 8,000 ⇒ P = Rs. 4,000

Check

• P + Q = 10,100 ⇒ Q = 6,100; P + R = 10,400 ⇒ R = 6,400; then Avg(Q, R) = (6100 + 6400)/2 = 6250 ✓

Final Answer
Monthly income of P = Rs. 4,000.