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      Question

      Rohit, Manish, Suresh, and Arjun were playing a football

      match. The ratio of goals scored by Rohit and Manish was 6:9 respectively, while that between Manish and Suresh was 9:4. If Arjun scored 12 goals more than Suresh and Rohit scored 24 goals more than Suresh, then find the ratio of goals scored by Rohit to that of Arjun.
      A 6:5 Correct Answer Incorrect Answer
      B 5:2 Correct Answer Incorrect Answer
      C 3:2 Correct Answer Incorrect Answer
      D 5:2 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Ratio of the goals scored by Rohit, Manish and Suresh = 6:9:4

      Let the number of goals scored by Rohit, Manish and Suresh be 6x, 9x and 4x respectively.

      Goals scored by Arjun = 4x + 12

      According to question,

      6x – 4x = 24

      2x = 24

      x = 12

      So, goals scored by Rohit = 6x = 72

      Goals scored by Arjun = 4x + 12 = 48 + 12 = 60

      Required ratio = 72/60 = 6:5

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