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 Rs 54 and per day mean wage of all the workers is $R s 60$ , then per day mean wage of the night shift workers (in Rs) is :

66

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74

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75

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69

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Solution

The correct option is B $74$
Total number of workers $= 70 + 30 = 100$
Given per day mean wage of all the workers is Rs 60.
So, per day mean wage of the 60 workers is $100 \times 60 = R s 6000$
Given, per day mean wage of the day shift workers is Rs 54
So, per day mean wage of the 70 workers is $54 \times 70 = R s 3780$
Let the per day mean wage of the night shift workers be $R s x$
So, per day mean wage of the 30 workers is $30 x$
According to question,
$6000 = 3780 + 30 x$
$\Rightarrow x = 74$
Hence, per day mean wage of the night shift workers is $R s 74$

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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 Rs 54 and per day mean wage of all the workers is Rs60, then per day mean wage of the night shift workers (in Rs) is :

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 Rs 54 and per day mean wage of all the workers is $R s 60$ , then per day mean wage of the night shift workers (in Rs) is :