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      Question

      In an exam, Rahul scored 50% marks and failed by 75

      marks whereas Priya scored 70% marks in the same exam and scored 55 marks more than the passing marks. Find the maximum marks of the exam.
      A 700 Correct Answer Incorrect Answer
      B 750 Correct Answer Incorrect Answer
      C 800 Correct Answer Incorrect Answer
      D 650 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ; Let the maximum marks of the exam be โ€˜100xโ€™ Marks scored by Rahul = 100x ร— 0.50 = โ€˜50xโ€™ Marks scored by Priya = 100x ร— 0.70 = โ€˜70xโ€™ According to question: 50x + 75 = 70x โ€“ 55 Or, 70x โ€“ 50x = 75 + 55 Or, 20x = 130 Or, x = 6.5 Therefore, maximum marks of the exam = 100x = 100 ร— 6.5 = 650

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