[4000] The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is Rs. 6250

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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:

3500

4000

4050

5000

Explanation:

Let P, Q and R represent their respective monthly incomes. Then, we have:

P + Q = $\left(5050 \times 2\right)$ = 10100 .... (i)

Q + R = $\left(6250 \times 2\right)$ = 12500 .... (ii)

P + R = $\left(5200 \times 2\right)$ = 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.

$\therefore$ Ps monthly income = Rs. 4000.

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