Question : The average monthly salary of workers in a factory is INR 6,000. The average monthly salary of 100 technicians is INR 12,000 and the average monthly salary of non-technicians is INR 4,000. Find the total number of workers in the factory.
Option 1: 400
Option 2: 300
Option 3: 250
Option 4: 450
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Correct Answer: 400
Solution :
Given: The average monthly salary of workers, 100 technicians and non-technicians in a factory is INR 6,000, INR 12,000 and INR 4,000.
Let the number of workers be $x$.
The sum of observations = Average × Number of observations
We set up an equation,
$⇒ 6000x =12000×100+4000(x-100)$
$⇒ 2000x = 8000×100$
$⇒ x=400$
Hence, the correct answer is 400.
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