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    Question

    The ratio of the boys to girl’s strength in the college

    in 2015 was 5:4, respectively. In 2016, the boy’s strength and the girl’s strength increased by 18% and 20%, respectively. If the total number of students in 2016 was 3852, then find the number of girls’ strength in 2015.
    A 1250 Correct Answer Incorrect Answer
    B 1005 Correct Answer Incorrect Answer
    C 1060 Correct Answer Incorrect Answer
    D 1440 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the number of boys and girls strength in 2015 be 5x and 4x, respectively.

    According to question,

    1.18 × 5x + 1.2 × 4x = 3852

    5.9x + 4.8x = 3852

    10.7x = 3852, x = 360

    So, required number of girls strength = 4x = 1440

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