# The average salary of all the workers in a workshop is 8000. the salary of 7 technicians is 12000 and the rest is 6000 . how many workers are there in the workshop

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8000x = 84000 + (x - 7)(6000)

8x = 84 + (x - 7)(6)

8x = 84 + 6x - 42

2x = 42

x = 42 / 2

=21

Solution:

Let the total Number of Workers in a Workshop = X

Average Salary Of X workers = 8000.

therefore Sum of Salary of all Workers = Number Of Workers * Average salary

= X * 8000

= 8000X

Therefore , According to Question , 7 technicians have 12000 salary while rest of the workers have 6000 salary .

Hence,

12000 * 7 + (X - 7 )*6000 = 8000X

=> 84000 + 6000X - 42000 = 8000X

=> 42000 + 6000X = 8000X

=> 42000 = 8000 X - 6000 X

=> 42000 = 2000 X

=> 42000/2000 = X

=> 21 = X

=> X =21

hence Total Number of Workers = 21

Hope This helps You !!!

Thank YoU!!