The mean wages of 150 labourers working in a factor running three shifts with 60,40,50 laboures is 11.4. The mean wage of 60 laboures working in the first shift is 121.50 and that of 40 laboures working in the second shift is 107.75, then the mean wage of those working in the third shift is:
Answers
Answer:
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Step-by-step explanation:
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
Hope it helps you
Step-by-step explanation:
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