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.
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
$\therefore$ The mean weekly payment of the 20 workers $=\frac{120000}{20}$
= ₹ 6000
Hence, the mean weekly payment of the remaining workers is ₹ 6000.