Question 77

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.

Let the number of officers be x.

And number of workers be = (400 - x).

3000$$ \times $$400 = 10,000$$ \times $$x + 2000$$ \times $$(400 - x)

1200000 = 10000x + 800000 - 2000x

1200000 - 800000 = 8000x

400000 = 8000x

x = $$\frac{400000}{8000}$$

x = 50

Number of officers = 50

Number of workers = 400 - 50 = 350

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