Question

The average weekly salary per head of all employees (supervisors and labourers) is Rs.100. The average weekly salary per head of all the supervisors is Rs.600 while the average weekly salary per head of all the labourers is Rs.75. Find the number of supervisors in the factory if there are 840 labourers in it

Answer 1

Step-by-step explanation:

Let the number of supervisors be x and the number of labourers be y.

Then there are (x + y) employees in total.

The average weekly salary per head of all the supervisors is Rs. 600

Then the total salary of x supervisors

= Rs. 600x

The average weekly salary per head of all the labourers is Rs. 75

Then the total salary of y labourers

= Rs. 75y

So the total salary of (x + y) employees

= Rs. (600x + 75y)

Then the average salary of (x + y) employees

= Rs. (600x + 75y)/(x + y)

According to the question,

(600x + 75y)/(x + y) = 100

⇒ (600x + 75 × 840)/(x + 840) = 100, since given y = 840

⇒ 600x + 63000 = 100x + 84000

⇒ 500x = 21000

⇒ x = 42

Answer:

The number of supervisors is 40.