The mean wages of 200 workers working in 3 shifts in a factory is 520.The average of 90 workers working in the first shift is Rs 500. The average of 60 workers working in the second shift is Rs 450.what is the average of workers working in the 3rd shift? (with solution please)

Rs 640

Step-by-step explanation:

Since, Mean wages of 200 workers = Rs 520

Therefore, total money earned by 200 workers = 200 × 520 = Rs 104000

Average of 90 workers in first shift = 500

Total earning of 90 workers = 90 × 500 = Rs 45000

Average earning of 60 workers in second shift = Rs 450

Total earning of these workers = 60 × 450 = Rs 27000

Remaining number of workers in 3rd shift = 200 - (90 + 60) = 50

Let the average earning of 50 workers in 3rd shift = x

Total earning of these workers = Rs 50x

Now total earning of 200 workers = Total earnings of workers working in different shifts

104000 = 45000 + 27000 + 50x

50x = 104000 - 72000

x =

x = 640      

Therefore, average earnings of the workers working in 3rd shift is Rs 640.

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