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      Question

      The marks scored by a boy in three subjects are in the

      ratio 3 : 5 : 6. Boy scored an overall aggregate of 70% in the exam. If the maximum marks in each subject are the same, in how many subjects did boy score more than 75% marks?
      A One Correct Answer Incorrect Answer
      B Three Correct Answer Incorrect Answer
      C none Correct Answer Incorrect Answer
      D Two Correct Answer Incorrect Answer
      E Cannot be determined Correct Answer Incorrect Answer

      Solution

      Let the maximum marks in each subject be 100.
      ∴ Total score = 70% of (100 + 100 + 100) = 70% of (300) = 210
      Also, 75% marks in a subject correspond to 75% of (100) = 75
      Let a boy have scored 4x, 5x and 6x in the three subjects.
      ∴ 3x + 5x + 6x = 210
      ∴ 14x = 210 i.e. x = 15
      Hence, his marks in the three subjects are 45, 75 and 90.
      Hence, he has scored more than 75 in exactly one subject.

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