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The average salary per employee in an office is Rs. 3,200 per month. The average salary of officers is Rs. 6,800 and that of non-officers is Rs. 2,000. If the number of officers is 5, then find the number of non-officers in the office.
    Correct answer is '15'. Can you explain this answer?
    Verified Answer
    The average salary per employee in an office is Rs. 3,200 per month. T...
    Let the number of officers and non-officers be n and m respectively.
    Total salary of officers = 6800n And, Total salary of non-officers = 2000m
    Total salary of all the employees = 6800n + 2000m = 3200(m + n)
    3600n = 1200m
    3n = m
    m = 3 x 5 = 15
    Number of non-officers =15
    Answer: 15
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    Most Upvoted Answer
    The average salary per employee in an office is Rs. 3,200 per month. T...
    Given Information:
    - Average salary per employee in the office = Rs. 3,200 per month
    - Average salary of officers = Rs. 6,800
    - Average salary of non-officers = Rs. 2,000
    - Number of officers = 5

    To Find:
    - Number of non-officers in the office

    Approach:
    - Let the number of non-officers be 'x'
    - We can use the concept of weighted average to solve this problem

    Solution:
    1. Average Salary Calculation:
    - The average salary per employee in the office is given as Rs. 3,200.
    - We can represent this using the formula for average:
    Total Salary / Number of Employees = Average Salary
    Total Salary = Average Salary * Number of Employees

    2. Calculation for Officers:
    - The average salary of officers is given as Rs. 6,800.
    - We know that the number of officers is 5.
    - Using the formula for average, we can write:
    Total Salary of Officers = Average Salary of Officers * Number of Officers

    3. Calculation for Non-Officers:
    - The average salary of non-officers is given as Rs. 2,000.
    - We know that the number of non-officers is 'x'.
    - Using the formula for average, we can write:
    Total Salary of Non-Officers = Average Salary of Non-Officers * Number of Non-Officers

    4. Calculation for Total Salary:
    - The total salary in the office can be calculated by adding the total salary of officers and the total salary of non-officers:
    Total Salary = Total Salary of Officers + Total Salary of Non-Officers

    5. Equating Total Salary Calculations:
    - We can equate the total salary calculated in steps 1 and 4:
    Average Salary * Number of Employees = Total Salary of Officers + Total Salary of Non-Officers

    6. Substituting the Values:
    - We can substitute the given values into the equation from step 5:
    3,200 * (5 + x) = 6,800 * 5 + 2,000 * x

    7. Solving the Equation:
    - Simplifying the equation from step 6:
    16,000 + 3,200x = 34,000 + 2,000x
    1,200x = 18,000
    x = 15

    Answer:
    The number of non-officers in the office is 15.
    Free Test
    Community Answer
    The average salary per employee in an office is Rs. 3,200 per month. T...
    Let total no. of employees be n.
    given average = 3200
    3200=(5x6800+(n-5)×2000)/n

    3200n=34000+2000n-10000

    3200n-2000n=24000
    1200n=24000
    n=24000/1200=20

    n-5 is non officer= 20 - 5 = 15
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    The average salary per employee in an office is Rs. 3,200 per month. The average salary of officers is Rs. 6,800 and that of non-officers is Rs. 2,000. If the number of officers is 5, then find the number of non-officers in the office.Correct answer is '15'. Can you explain this answer?
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    The average salary per employee in an office is Rs. 3,200 per month. The average salary of officers is Rs. 6,800 and that of non-officers is Rs. 2,000. If the number of officers is 5, then find the number of non-officers in the office.Correct answer is '15'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about The average salary per employee in an office is Rs. 3,200 per month. The average salary of officers is Rs. 6,800 and that of non-officers is Rs. 2,000. If the number of officers is 5, then find the number of non-officers in the office.Correct answer is '15'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The average salary per employee in an office is Rs. 3,200 per month. The average salary of officers is Rs. 6,800 and that of non-officers is Rs. 2,000. If the number of officers is 5, then find the number of non-officers in the office.Correct answer is '15'. Can you explain this answer?.
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