The average monthly income of P and Q is Rs. 2060. The average monthly income…
2024
The average monthly income of P and Q is Rs. 2060. The average monthly income of Q and R is Rs. 3050 and the average monthly income of P and R is Rs. 4500. The monthly income of P is:
- A.
Rs. 4510
- B.
Rs. 3510
- C.
Rs. 2510
- D.
Rs. 4560
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Show answer & explanation
Correct answer: B
Solution:
From the average of P and Q = 2060, we get P + Q = 4120.
From the average of Q and R = 3050, we get Q + R = 6100.
From the average of P and R = 4500, we get P + R = 9000.
Add the first and third equations: (P + Q) + (P + R) = 4120 + 9000 = 13120, so 2P + (Q + R) = 13120.
Substitute Q + R = 6100 into the equation: 2P + 6100 = 13120, so 2P = 7020 and P = 3510.
Therefore the monthly income of P is Rs. 3510.