Question

The average weekly payment to 75 workers in a factory is 5680. The mean weekly payment to 25 of them is 5400 and that of 30 others is 5700. Find the mean weekly payment of the remaining workers.


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Answer 1

Average weekly payment of 75 workers = ₹ 5680

So the total payment = ₹ (75 × 5680) = ₹ 426000

Mean weekly payment of 25 workers = ₹ 5400

So the total payment = ₹ (25 × 5400) = ₹ 135000

Mean weekly payment of 30 workers = ₹ 5700

So the total payment = ₹ (30 × 5700) = ₹ 171000

We know that number of remaining workers = 75 – 25 – 30 = 20

So the total weekly payment of remaining 20 workers = Total weekly payment of 75 workers – total weekly payment of 25 workers – total weekly payment of 30 workers

By substituting the values

Total weekly payment of remaining 2 workers = 426000 – 135000 – 171000 = ₹ 120000

So the mean weekly payment of remaining 20 workers = 120000/20 = ₹ 6000

Therefore, the mean weekly payment of the remaining workers is ₹ 6000.