Question

A factory has two sections employing 190 and 135 workers. The mean earnings per worker are Rs.350.00 and Rs. 325.00 for the two sections respectively. Determine the mean earning per worker of the whole factory.

Answer 1

Answer:

Let the total wages of laborers working in shift 1 is x

Let the total wages of laborers working in shift 2 is y

Let the total wages of laborers working in shift 3 is z

Mean wages of 150 laborers =

a+b+c

x+y+z

Where a, b and c is the number of laborers working is shift 1,2 and 3 respt

Mean wages =114 Rs

∴

150

x+y+z

=114⇒x+y+z=114×150=17100

Mean wages of laborers in shift 1 is=

a

x

=121.5⇒x=121.5×60=7290 ( a=60)

Mean wages of laborers in shift 2 is=

b

y

=107.75⇒x=107.75×40=4310 ( a=40)

(x+y+z)=17100

Or 7290+4310+z=17100 Or z=17100-7290-4310=5500

Let the mean of laborers in shift 3=c

∴m=

c

z

=

50

5500

=110 Rs

Then mean wage of laborer working in third shift=Rs 110