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:

A. 3500
B. 4000
C. 4050
D. 5000
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:

Solution:

Let P, Q and R represent their respective monthly incomes. Then, we have:

P + Q = (5050 x 2) = 10100 …. (i)
Q + R = (6250 x 2) = 12500 …. (ii)
P + R = (5200 x 2) = 10400 …. (iii)

Adding (i), (ii) and (iii), we get: 2(P + Q + R) = 33000 or P + Q + R = 16500 …. (iv)

Subtracting (ii) from (iv), we get P = 4000.

P’s monthly income = Rs. 4000.