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      Question

      Marks scored by A and B in a test are in the ratio 15:8

      respectively. If B had scored 9 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 15x and 8x respectively. Difference between the marks scored by A and B = 15x – 8x = 7x According to question, => (8x + 9) × 1.2 = 15x => 9.6x + 10.8 = 15x => 5.4x = 10.8 => x = 2 Required difference = 7x = 14

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