The average monthly salary of labourers and supervisors in a factory is Rs 1250

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The average monthly salary of labourers and supervisors in a factory is Rs 1250 per month, whereas the average monthly salary of 6 supervisors is Rs 2450. If the average monthly salary of the labourers is Rs 950 find the number of labourers.

Options:

A . 24

B . 30

C . 36

D . none of these

Answer: Option A

Average monthly salary of labourers and supervisors = Rs 1250
Average monthly salary of supervisors = Rs 2450
Average monthly salary of labourers = Rs 950
Let the number of labourers be 'x' and the number of supervisors be 'y'

Therefore,
Average monthly salary of labourers and supervisors = (950x + 2450y)/(x + y)

On rearranging, we get
950x + 2450y = 1250 (x + y)

Simplifying further, we get
850x = -1200y

Divide both sides by 850
x = -1400/850 y

Since y = 6
Therefore, x = -1400/850 x 6

x = 24

Hence, the number of labourers = 24.

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