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Question 59

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.

Solution

Let the number of officers and workers be o and w respectively.

Σo/o = 10000

Σw/w = 2000

Σo + Σw /w + o = 3000

and w + o = 400 (1)

Solving, we get

10000o + 2000w = 3000w + 3000o

So, 7o = w

From equation 1, we get

8o = 400, o = 50

Number of officers = 50

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