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    Question

    In a company of 720 employees, the ratio of men to women is

    5:4. Among men, the ratio of married to unmarried men is 3:2. Among women, the ratio of married to unmarried women is 5:3. Find the ratio of married people to unmarried people in the company.
    A 11:7 Correct Answer Incorrect Answer
    B 13:11 Correct Answer Incorrect Answer
    C 10:11 Correct Answer Incorrect Answer
    D 7:8 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Number of men = 720 × (5/9) = 400

    So, number of women = 720 - 400 = 320

    Number of married men = 400 × (3/5) = 240

    And number of unmarried men = 400 - 240 = 160

    Number of married women = 320 × (5/8) = 200

    And number of unmarried women = 320 - 200 = 120

    So, total number of married people = 240 + 200 = 440

    And total number of unmarried people = 160 + 120 = 280

    Therefore, required ratio = 440:280 = 11:7

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