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-
A. Rs. 3500
B. Rs. 4000
C. Rs. 4050
D. Rs. 5000
Answer: Option B
Solution(By Examveda Team)
Let P, Q and R represent their respective monthly incomeThen, we have
P + Q = (5050 × 2) = 10100.....(i)
Q + R = (6250 × 2) = 12500.....(ii)
P + R = (5200 × 2) = 10400.....(iii)
Adding (i), (ii) and (iii), we get
2 (P + Q + R) = 33000
⇒ P + Q + R = 16500
Subtracting (ii) from (iv), we get P = 4000
∴ P's monthly income = Rs. 4000
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