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    Question

    In a company, the ratio of engineers to administrators

    is 4:1. 15% of engineers and 20% of administrators are involved in a project, and 25% of the remaining staff are on leave. What is the number of staff on leave if the total number of employees is 1000?
    A 210 Correct Answer Incorrect Answer
    B 165 Correct Answer Incorrect Answer
    C 155 Correct Answer Incorrect Answer
    D 200 Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Total employees = 1000 Let the number of engineers and administrators be 4x and x, respectively. Equation: 4x + x = 1000 Solve for x: 5x = 1000, x = 200 Number of engineers = 800, Number of administrators = 200 Number in project = 15% of 800 + 20% of 200 = 120 + 40 = 160 Remaining staff = 1000 - 160 = 840 Number on leave = 25% of 840 = 210

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