Question:

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 2,000 per month. If there are total 400 employees in the organisation, find the number of officers and workers separately.

Updated On: Oct 7, 2024
  • 50, 350
  • 350, 450
  • 50, 275
  • 325, 350
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The Correct Option is A

Solution and Explanation

Let the number of officers be \(x\).
And number of workers be = \((400 - x)\).
\(\Rightarrow\;\)\(3000 400 = 10,000 x + 2000 (400 - x)\)
\(\Rightarrow\;\)\(1200000 = 10000x + 800000 - 2000x\)
\(\Rightarrow\;\)\(1200000 - 800000 = 8000x\)
\(\Rightarrow\;\)\(400000 = 8000x\)
\(\Rightarrow\;\)x = \(\frac{400000}{8000}\)
\(\Rightarrow\;\)\(x = 50\)
Number of officers = \(50\)
Number of workers = \(400 - 50 = 350\)

The correct option is (A): 50, 350

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