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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:

Options:
A .  3500
B .  4000
C .  4050
D .  5000
Answer: Option B

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.


The Average Monthly Income Of P And Q Is Rs. 5050. The Avera... P's monthly income = Rs. 4000.



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