Average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250. The average monthly income of P and R is Rs. 5200. What will be the monthly income of P?

🧠 Explanation:

Given: (P+Q)/2 = 5050, (Q+R)/2 = 6250, (P+R)/2 = 5200
Step 1: Convert means to sums → P+Q=10100; Q+R=12500; P+R=10400
Step 2: Add first and third, then subtract second: (P+Q)+(P+R)−(Q+R) = 2P
Step 3: Compute 10100 + 10400 − 12500 = 8000 ⇒ 2P = 8000
Step 4: Solve P = 4000
Check: Back-substitute to check consistency with given means
Final Answer: 4000