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

The answer is Rs. 4000.

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

=>P + Q = (5050 x 2) = 10100 .....1
=>Q + R = (6250 x 2) = 12500 ....2
=>P + R = (5200 x 2) = 10400 ....3

Adding 1,2 and 3, we get:-
2(P + Q + R) = 33000
=>P + Q + R = 16500 .... 4

Subtracting 2 from 4,we get:-
P = 4000