Question

The average salary of all the workers in a workshop is ₹11500. If the average salary of 5 technicians is ₹8000 and the average salary of the rest of the workers is ₹14000, then the total number of workers in the workshop is​

Answer 1

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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

B

21

C

22

D

23

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Solution



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Correct option is

B

21

Let the number of workers be x

Given that the average salary of 7 workers is Rs. 12000

Therefore, 12000=7sum of the salaries of 7 workers

sum of the salaries of 7 workers=84000 ------(1)

The remaining number of workers is x−7

Given that average salary of the remaining workers is Rs. 6000

Therefore, 6000=x−7sum of the salaries of (x-7) workers

sum of the salaries of (x-7) workers=6000x−42000 ------(2)

Given that the average salary of all the workers is Rs. 8000

Therefore, 8000=xsum of the salaries of 7 workers + sum of the salaries of (x-7) workers -----(3)

substituting (1) and (2) in (3) we get

8000x=84000+6000x−42000

⟹8000x−6000x=84000−42000

⟹2000x=42000

⟹x=21

Therefore, the total number of workers in the workshop is 21

Answer 2

As per the data given in the question,

In the above question, it is given that,

Given that the average salary of all the workers in a workshop is ₹11500.

The average salary of 5 technicians is ₹8000.

The average salary of the rest of the workers is ₹14000.

We have to find the total number of workers in the workshop.

Here in the question, we have to use consider the number of workers as x.

Thus, Consider the number of workers in the workshop be x.

$11500 \mathrm{x}=5 \times 8000+(x-5) \times 14000\\\\11500x=40000+14000x-70000\\11500x=-30000\\x=\frac{30000}{11500}\\x=2.6 is consider as 3$

Hence the total number of worker in the workshop is 3.