Question : There are 50 students in a class with an average weight of 45 kg. When one student leaves the class, the average weight reduces by 100 g. What is the weight of the student who left the class?
Option 1: 45 kg
Option 2: 47.9 kg
Option 3: 49.9 kg
Option 4: 50.1 kg
Correct Answer: 49.9 kg
Solution :
The total weight of 50 students, average weighing 45 kg = 50 × 45 = 2250 kg
The sum of the weight of 49 students, average weighing 44.9 kg = 49 × 44.9 = 2200.1 kg
Thus, the weight of the student who left the class = 2250 – 2200.1 = 49.9 kg
Hence, the correct answer is 49.9 kg.
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