📢 Too many exams? Don’t know which one suits you best? Book Your Free Expert 👉 call Now!

    âš¡ Month End Offer - Flat 52% Off On All Courses! Enroll Now âš¡
    00:00:00 AM Left

    Question

    The average age of 'p' employees

    in the HR department is (p – 6) years. Two managers aged 36 and 40 join the department, causing the overall average age in HR to rise by 2 years. In the IT department, there are (p + 35) employees, and 25% of them are women. The average age of each woman is 14 years, and the average age of each man is 16 years. Find the average age of an employee in the IT department.
    A 15.5 yrs Correct Answer Incorrect Answer
    B 22.5 yrs Correct Answer Incorrect Answer
    C 18.5 yrs Correct Answer Incorrect Answer
    D 28.5 yrs Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    We have the equation: p × (p – 6) + 36 + 40 = (p + 2) × (p – 6 + 2) Simplifying: p² – 6p + 76 = p² + 2p – 4p – 8 So, 76 + 8 = –2p + 6p 4p = 84 p = 21 Number of employees in the HR department = 21 Number of employees in the IT department = p + 35 = 56 years Number of women in IT = 0.25 × 56 = 14 years Number of men in IT = 56 – 14 = 42 years Required average age = {(14 × 14) + (42 × 16)}/56 = (196 + 672)/56 = 868/56 = 15.5 years

    Practice Next
    More Average Questions

    Relevant for Exams:

    ask-question