Question : The average weight of 9 boxes is 61 kg. If three boxes having an average weight of 70 kg are removed, then what will be the new average weight of the remaining boxes?
Option 1: 55.5 kg
Option 2: 54 kg
Option 3: 56.5 kg
Option 4: 45.5 kg
Correct Answer: 56.5 kg
Solution :
The average weight of 9 boxes is 61 kg.
Total weight of 9 boxes = 9 × 61 = 549 kg
Three boxes having an average weight of 70 kg are removed.
The total weight of those three boxes = 3 × 70 = 210 kg
Total weight of remaining 6 boxes = 549 – 210 = 339
Average weight of remaining 6 boxes = $\frac{339}{6}=56.5$ kg
Hence, the correct answer is 56.5 kg.
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