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      Question

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

      ratio 4 : 5 : 3. Boy scored an overall aggregate of 80% in the exam. If the maximum marks in each subject are the same, in how many subjects did boy score more than 65% 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 = 80% of (100 + 100 + 100) = 80% of (300) = 240
      Also, 65% marks in a subject correspond to 65% of (100) = 65
      Let a boy have scored 4x, 5x and 3x in the three subjects.
      ∴ 4x + 5x + 3x = 240
      ∴ 12x = 240 i.e. x = 20
      Hence, his marks in the three subjects are 80, 100 and 60.
      Hence, he has scored more than 65 in exactly two subject.

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