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.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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