Question

The Meanwage of 100 workers in a factory stunning
two shiftso 60 and 40 workers wespectively is RS
38. The Mean wage of 60 workers working in the
morning shift is Rs. 40. Find the mean wage of 40
workers working in evening shift.

Answer 1

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