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    Question

    Read the following data carefully and answer the following questions:   The ‘XYZ’ company has four departments (HR, IT, Marketing and Production). Each employees of the compnay is in one of the given departments. Total number of male employees in the company is 640. Number of male employees in HR department is 10 more, 20 more and 30 more than that in IT, Marketing and Production, respectively. Number of female employees in IT department is 160 and ratio of the number of female employees in HR, IT and Production department is 7:8:5 respectively. Number of female employees in Marketing department is equal to number of male employees in Production department.

    Find the average number of female employees in Marketing, HR and Production departments together.

    A 144 Correct Answer Incorrect Answer
    B 130 Correct Answer Incorrect Answer
    C 156 Correct Answer Incorrect Answer
    D 124 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Total number of male employees in the company = 640 Let the number of male employees in HR department be x. Now, number of male employees in IT department = x – 10 Number of male employees in Marketing department = x – 20 Number of male employees in Production department = x – 30 According to question, => x + x – 10 + x – 20 + x – 30 = 640 => 4x = 640 + 60 => x = 175 So the number of male employees in HR department = 175 Number of male employees in IT department = 165 Number of male employees in Marketing department = 155 Number of male employees in Production department = 145 Number of female employees in Marketing department = 145 Number of female employees in IT department = 160 Number of female employees in HR department = 160 × (7/8) = 140 Number of female employees in Production department = 160 × (5/8) = 100 Required average = (120 + 150 + 120)/3 = 390/3 = 130

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