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. 2000 per month. If there are total 400 employees in the organisation, find the number of officers.

Updated On: Jan 30, 2025
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The Correct Option is B

Solution and Explanation

Let's take the number of officers o and number of workers w
\(\frac{o}{o}\) = 10000
\(\frac{w}{w}\) = 2000
∑o + ∑\(\frac{w}{w+o}\) = 3000
w + o = 400   – Equation(1)
Solving this, we get
10000o + 2000w = 3000w + 3000o
So, 7o = w     – Equation(2)
Putting the value of equation 2 in equation 1, we get
8o = 400
o = \(\frac{400}{8}\)
o = 50
Number of officers = 50
The correct option is (B)
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