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Question

# The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop are

A
20
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B
21
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C
22
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D
23
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Solution

## The correct option is B 21Let the number of workers be xGiven that the average salary of 7 workers is Rs. 12000Therefore, 12000=sum of the salaries of 7 workers7sum of the salaries of 7 workers=84000 ------(1)The remaining number of workers is x−7Given that average salary of the remaining workers is Rs. 6000Therefore, 6000=sum of the salaries of (x-7) workersx−7sum of the salaries of (x-7) workers=6000x−42000 ------(2)Given that the average salary of all the workers is Rs. 8000Therefore, 8000=sum of the salaries of 7 workers + sum of the salaries of (x-7) workersx -----(3)substituting (1) and (2) in (3) we get8000x=84000+6000x−42000⟹8000x−6000x=84000−42000⟹2000x=42000⟹x=21Therefore, the total number of workers in the workshop is 21

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