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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Solution

Total salary of 75 workers = ₹ 5680 × 75
= ₹ 426000

Total salary of 25 workers = ₹ 5400 × 25
= ₹ 135000

Total salary of 30 workers = ₹ 5700 × 30
= ₹ 171000

No. of remaining workers = 75 − (25 +30)
= 20

Total salary of 20 workers = ₹ (426000 − 135000 − 171000)
= ₹ 120000

∴ The mean weekly payment of the 20 workers = $\frac{120000}{20}$
= ₹ 6000

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

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