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.

• A. 50, 350
• B. 350, 450
• C. 50, 275
• D. 325, 350

Answer 1

Answer: (A)

50, 350

Answer 2

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