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The average monthly salary of employees, consisting of officers and workers, of an organisation is Rs. 3000. The average salary of an officer is Rs. 10,000, while that of a worker is Rs. 2000 per month. If there are total 400 employees in the organisation, find the number of officers.
  • a)
    30
  • b)
    50
  • c)
    80
  • d)
    90
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
The average monthly salary of employees, consisting of officers and wo...
Let the number of officers be x.
Number of workers = 400 - x
10,000x + 2000(400 - x) = 3000(400)
10x + 800 - 2x = 1200
8x = 400
x = 50
Hence, the number of officers is 50.
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The average monthly salary of employees, consisting of officers and wo...
Given information:
- Average monthly salary of employees = Rs. 3000
- Average salary of an officer = Rs. 10,000
- Average salary of a worker = Rs. 2000
- Total number of employees = 400

To find:
- Number of officers

Let's assume the number of officers as 'x' and the number of workers as 'y'.

Average Salary Calculation:
- Average monthly salary of employees = Total monthly salary / Total number of employees
- Rs. 3000 = (Rs. 10,000 * x + Rs. 2000 * y) / 400

Simplifying the equation, we get:
- Rs. 12,00,000 = Rs. 10,000x + Rs. 2000y

Since we have two variables, we need another equation to solve for 'x' and 'y'. We can use the fact that the total number of employees is 400:

- x + y = 400

Solving the two equations simultaneously:
- Rs. 12,00,000 = Rs. 10,000x + Rs. 2000y
- x + y = 400

Multiplying the second equation by 2000, we get:
- 2000x + 2000y = 800000

Subtracting this equation from the first equation:
- Rs. 12,00,000 - Rs. 800,000 = Rs. 10,000x - Rs. 2000x
- Rs. 4,00,000 = Rs. 8000x
- x = 400000/8000
- x = 50

Therefore, the number of officers in the organization is 50. Hence, option B is the correct answer.
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The average monthly salary of employees, consisting of officers and workers, of an organisation is Rs. 3000. The average salary of an officer is Rs. 10,000, while that of a worker is Rs. 2000 per month. If there are total 400 employees in the organisation, find the number of officers.a)30b)50c)80d)90Correct answer is option 'B'. Can you explain this answer?
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