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      Question

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

      ratio 3 : 5 : 7. 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

      ATQ, The boy's marks are in the ratio 3:5:7, and his overall score is 70%. Let's assume the maximum marks for each subject is x. Total Marks Scored: The marks in each subject are 3k, 5k, and 7k, so total marks = 15k. Overall Percentage Equation: (15k/3x) × 100 = 70% Solving this gives k=0.14x. Individual Marks: First subject: 0.42x Second subject: 0.7x Third subject: 0.98x Compare with 75%:  0.75x is the 75% threshold. Only the third subject (0.98x) exceeds 75%. Conclusion: The boy scored more than 75% in 1 subject.

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