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    Question

    In 2021, the ratio of men to women in a college was 5:4.

    The following year, the men's count dropped by 10%, while the women's count rose by 20%, resulting in a difference of 252 between the numbers of men and women. What was the total number of men in the college in 2021?
    A 44000 Correct Answer Incorrect Answer
    B 42000 Correct Answer Incorrect Answer
    C 27000 Correct Answer Incorrect Answer
    D 56000 Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the number of men and women in the office in 2021 be '5a' and '4a' respectively. Number of women in the office in 2022 = 4a × (120/100) = 4.8a Number of men in the office in 2022 = 0.9 × 5a = 4.5a According to the question, 4.8a - 4.5a = 252 Or, 0.3a = 252 Or, 'a' = (252/0.3) = 840 Required number of men = 5a = 5 × 840 = 4200

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