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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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