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40% of Raees marks is equal to 20% of Rahim's marks which percent is equal to 30% of Rehman's marks. If Rehman's marks is 80, then find the average marks of Raees and Rahim?

Correct answer: D. 90

  • A. 60
  • B. 70
  • C. 80
  • D. 90
  • E. None of these

Explanation

Let the common value be 30% of Rehman's 80 marks: 0.30 x 80 marks = 24 marks. Therefore, Raees's marks = 24 ÷ 0.40 = 60 marks and Rahim's marks = 24 ÷ 0.20 = 120 marks, giving an average of (60 + 120) ÷ 2 = 90 marks. The likely trap is 80 marks, which treats Rehman's marks as the average instead of first applying the percentages.

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