The average salary per head of all the workers in a workshop

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The average salary per head of all the workers in a workshop is Rs. 850, if the average salary per head of 7 technician is Rs. 1000 and the average salary per head of the rest is Rs 780, the total number of workers in the work- shop is ?

1. 18
2. 20
3. 22
4. 24

Correct Option: C

Let the total number of workers be y.
So sum of salary for all workers = sum of salary of 7 technician + sum of salary for other y -7 workers.
7 x 1000 + 780(y -7) = 850 y
⇒ 7000 + 780y - 5460 = 850y
⇒ 70y = 1540
∴ y = 22

So total number of workers = 22