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The average monthly income of P and Q is Rs. 6000; that of Q and R is Rs. 5250; and that P and R is Rs. 5500. What is P’s monthly income?

A. Rs. 3500 B. Rs. 4500 C. Rs. 6250 D. Rs. 4800 Answer: Option C
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Solution(By Apex Team)

Average monthly income of P and Q = Rs. 6000 Average monthly income of Q and R = Rs. 5250 Average monthly income of P and R = Rs. 5500 Total income of P + Q = 2 × 6000 = Rs. 12000…..(i) Total income of Q + R = 2 × 5250 = Rs. 10500…..(ii) Total income of R + P = 2 × 5500 = Rs. 11000…..(iii) On adding equation (i) (ii) and (iii), we have 2 (P + Q + R) = 12000 + 10500 + 11000 ⇒ P + Q + R $\Large=\frac{33500}{2}$ ⇒ P + Q + R = Rs. 16750…..(iv) By equation (iv) – (ii) P’s monthly income = Rs. (16750 – 10500) = Rs. 6250

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