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  1. 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:

  2. A.

    3500

    B.

    4000

    C.

    4050

    D.

    5000

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    Answer : Option B

    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.


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