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      Question

      In an English test, a man scored 40% marks and failed by

      40 marks. If he had scored 160 more marks, he would’ve got 60% of the total marks. Find the passing percentage
      A 45% Correct Answer Incorrect Answer
      B 35% Correct Answer Incorrect Answer
      C 25% Correct Answer Incorrect Answer
      D 40% Correct Answer Incorrect Answer

      Solution

      Let the maximum marks be ‘100x.’ Marks scored by the man = 100x × 0.4 = 40x marks ATQ. 40x + 160 = 0.60 × 100x Or 40x + 160 = 60x Or 20x = 160 Or x = 8 Total marks =100×8=800 Passing marks = 40x + 40 = 360 Required percentage = (360/800) × 100 = 45%

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