Question

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 1

Let P, Q and R represent their respective monthly incomes. 

According to the given data,

(P + Q)/2 = 5050

P + Q = (5050 x 2) = 10100 ----- (i)

(Q + R)/2 = 6250

Q + R = (6250 x 2) = 12500 ----- (ii)

(P + R)/2 = 5200

P + R = (5200 x 2) = 10400 ------ (iii)

Adding (i), (ii) and (iii), 

we get:  2(P + Q + R) = 33000 

                P + Q + R = 16500 ----- (iv)

Subtracting (ii) from (iv), 

               we will get P = 4000.

 Therefore, P's monthly income = Rs. 4000