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    Question

    In a college, the proportion of boys to girls is 7:9,

    and the proportion of graduate students to postgraduate students is 4:5. Determine the total number of students, given that the difference between the number of boys and graduate students is 2.
    A 255 Correct Answer Incorrect Answer
    B 265 Correct Answer Incorrect Answer
    C 288 Correct Answer Incorrect Answer
    D 225 Correct Answer Incorrect Answer

    Solution

    ATQ, Let the total students = 'x' ATQ, x × (4/9) - x × (7/16) = 2 (64x – 63x)/144 = 2 x = 288

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