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The average monthly income of P and Q is Rs. 5050. The average monthly income of Q and R is 6250 and the average monthly income of P and R is Rs. 5200. The monthly income of P is____________?

Correct answer: B. Rs. 4000

  • A. Rs. 3500
  • B. Rs. 4000
  • C. Rs. 4050
  • D. Rs. 5000Downloading Interactive Party Trivia Games

Explanation

The pair totals are P + Q = 2 x Rs. 5050 = Rs. 10,100, Q + R = Rs. 12,500, and P + R = 2 x Rs. 5200 = Rs. 10,400. Adding the first and third equations and subtracting the second gives 2P = Rs. 10,100 + Rs. 10,400 - Rs. 12,500 = Rs. 8,000, so P earns Rs. 4,000 per month. The likely mistake is choosing Rs. 3,500 by subtracting the averages without first converting them to pair totals.

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