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    Question

    The marks obtained by X and Y in a quiz are in the ratio

    7:5 respectively. If Y had scored 5 more marks, then the marks scored by X would be 30% more than that of Y. What is the difference between actual marks scored by X and Y?
    A 10 Correct Answer Incorrect Answer
    B 26 Correct Answer Incorrect Answer
    C 30 Correct Answer Incorrect Answer
    D 35 Correct Answer Incorrect Answer
    E 40 Correct Answer Incorrect Answer

    Solution

    Let X = 7k, Y = 5k Given: if Y had scored 5 more, then X would be 30% more than Y So: X = 130% of (Y + 5) 7k = 1.3(5k + 5) 7k = 6.5k + 6.5 0.5k = 6.5 k = 13 X = 7 ├Ч 13 = 91 Y = 5 ├Ч 13 = 65 Difference = 91 тИТ 65 = 26

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