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      Question

      Marks scored by A and B in a test are in the ratio 14:9

      respectively. If B had scored 8 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 14 Correct Answer Incorrect Answer
      B 7 Correct Answer Incorrect Answer
      C 10 Correct Answer Incorrect Answer
      D 15 Correct Answer Incorrect Answer
      E 9 Correct Answer Incorrect Answer

      Solution

      Let actual marks scored by A and B be 14x and 9x respectively. Difference between the marks scored by A and B = 14x – 9x = 5x According to question, => (9x + 8) × 1.2 = 14x => 10.8x + 9.6 = 14x => 3.2x = 9.6 => x = 3 Required difference = 5x = 15

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