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: Pick one
A) 3500
B) 4000
C) 4050
D) 5000
E) None
EXPLANATION   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.   Answer 4000
<result>B</result>
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: