Question

    In an office with 400 employees (comprising both men and

    women), preferences for either 'Tea' or 'Coffee' exist. The number of men who like 'Tea' to those who prefer 'Coffee' is in the ratio 3:4, respectively. Meanwhile, the number of men who like 'Coffee' is three times the number of women who prefer 'Coffee'. Additionally, if the number of men who like 'Tea' is 40% less than the number of women who prefer 'Tea', determine the total number of men in the office.
    A 210 Correct Answer Incorrect Answer
    B 235 Correct Answer Incorrect Answer
    C 165 Correct Answer Incorrect Answer
    D 178 Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let number of men who likes 'Tea' be '9a' So, number of men who likes 'coffee' = 9a × (4/3) = '12a' And number of women who likes 'coffee' = 12a × (1/3) = '4a' So, number of women who likes 'Tea' = 9a ÷ 0.6 = '15a' So, number of people who likes 'Tea' = '24a' and number of people who likes 'Coffee' = '16a' 24a + 16a = 400 Or, 40a = 400 Or, 'a' = 10 And number of men in the office were = 9a + 12a = 21a = 21 × 10 = 210

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