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      Question

      Marks scored by A and B in a test are in the ratio 12:7

      respectively. If B had scored 6 more marks, then marks scored by A would be 20% more than that of B. Find the difference between actual marks scored by A and B.
      A 22 Correct Answer Incorrect Answer
      B 32 Correct Answer Incorrect Answer
      C 10 Correct Answer Incorrect Answer
      D 25 Correct Answer Incorrect Answer

      Solution

      Let actual marks scored by A and B be 12x and 7x respectively. Difference between the marks scored by A and B = 12x – 7x = 5x According to question, => (7x + 6) × 1.2 = 12x => 8.4x + 7.2 = 12x => 3.6x = 7.2 => x = 2 Required difference = 5x = 10

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