Discussion
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:
Answer: B
We are given the following equations from the averages:
1) P + Q = 2 × 5050 = 10100
2) Q + R = 2 × 6250 = 12500
3) P + R = 2 × 5200 = 10400
Adding all three equations: 2(P + Q + R) = 10100 + 12500 + 10400 = 33000.
So, P + Q + R = 16500.
To find P, we subtract equation (2) from this sum: P = (P+Q+R) - (Q+R) = 16500 - 12500 = 4000.
The monthly income of P is Rs. 4000.
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