Find The Total Number of Workers

The average salary of all the worker in a workshop is 8,000.  The average  salary  of  7  technicians  is ₹ 12.000 and the average salary of the rest is ₹ 6,000. The total number of workers in the workshop is

  1. 20
  2. 21
  3. 22
  4. 23
Anurag Mishra Professor Asked on 20th July 2015 in Maths.
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1 Answer(s)

Answer: (2) 21
Explanation:-
Let the total number of workers in a workshop = N
The average of all workers = 8000                     (Given in the question)
The total salary of all workers = 8000 N.
The average of salary of 7 technicians = Rs.12,000
The total salary of 7 technicians = 12,000 x 7 = Rs.84,000
The average of remaining workers = 6,000
The total salary of remaining workers = 6,000 x (N – 7)
Then,
8000 N = 84,000 + 6,000 x (N – 7)
8,000 N = 84,000 – 42,000  + 6000 N
8,000 N – 6,000 N = 42,000
2000 N = 42,000
N = 42,000/2000
N = 21
There are 21 workers in the workshop.

Anurag Mishra Professor Answered on 20th July 2015.
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