# A factory is operating in two shifts, day and night, with 70 and 30 workers respectively.  If per day mean wage of the day shift workers is 54 and per day mean wage of all the workers is  60, then per day mean wage of the night shift workers (in ) is : Option 1) 66 Option 2) 69 Option 3) 74 Option 4) 75

P Plabita

As we learnt in

ARITHMETIC Mean -

For the values x1, x2, ....xn of the variant x the arithmetic mean is given by

$\dpi{100} \bar{x}= \frac{x_{1}+x_{2}+x_{3}+\cdots +x_{n}}{n}$

in case of discrete data.

-

$W_{day}=54$

$W_{night}=x$

$60=\frac{54\times 70+x\times30}{100}$

Calculating x=74

Option 1)

66

This option is incorrect

Option 2)

69

This option is incorrect

Option 3)

74

This option is correct

Option 4)

75

This option is incorrect

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