The average salary of all the workers in a factory is Rs.3,000. Among these workers, there are 12 higher officers and their average salary is Rs.12,000. The average salary of the remaining workers is Rs.2,500. The total number of the workers is ______
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 228.
Let the total workers be x
We know that,
Average = Sum of observations/Number of observations
Now,
The average salary of all the workers in a factory is Rs.3,000
The total salary of all the workers = Rs. 3000x
There are 12 higher officers and their average salary is Rs.12,000
Total salary of the higher officers is = 12000 × 12 = Rs. 144000
The average salary of the remaining workers is Rs.2,500
The total salary of the remaining workers (x - 12) = (x - 12) × 2500
According to the question
⇒ 3000x = 144000 + (x - 12) × 2500
⇒ 3000x = 144000 + 2500x - 30000
⇒ 3000x - 2500x = 144000 - 30000
⇒ 500x = 114000
⇒ x = 114000/500
⇒ x = 228
Thus, the total number of workers is 228