The average salary/head of all the workers in a workshop is Rs.1000, if the average salary/head of 10 technician is Rs.1200 and the average salary/head of the rest is Rs.820, the total no. of workers in the work-shop is ? Choose the most appropriate option:
A) 120/9 B) 140/9 C) 150/9 D) 190/9 E) 170/9
Let the total number of workers be y.
So sum of salary for all workers = sum of salary of 10 technician + sum of salary for other y -10 workers.
10 x 1200 + 820(y -10) = 1000 y
⇒ 12000 + 820y - 8200 = 1000y
⇒ 180y = 3800
∴ y = 190/9 So total number of workers = 190/9 190/9
<result>D</result>
The average salary/head of all the workers in a workshop is Rs.1000, if the average salary/head of 10 technician is Rs.1200 and the average salary/head of the rest is Rs.820, the total no. of workers in the work-shop is ?