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There are 50 students in a class. Their average weight is 45 kg. When one student leaves the class the average weight reduces by 100g. What is the weight of the student who left the class?
  • a)
    45 kg
  • b)
    47.9 kg
  • c)
    49.9 kg
  • d)
    50.1 kg
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?
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Problem Analysis:
Let's assume the weight of the student who left the class is 'x' kg.

Given:
- There are 50 students in the class.
- The average weight of the class is 45 kg.
- When one student leaves the class, the average weight reduces by 100g.

Solution:
To find the weight of the student who left the class, we can use the concept of average weight.

Step 1: Find the total weight of the class before one student left.
- Average weight of the class = Sum of weights of all students / Number of students
- Sum of weights of all students = Average weight of the class * Number of students
= 45 kg * 50
= 2250 kg

Step 2: Find the total weight of the class after one student left.
- Number of students = 50 - 1 = 49 (since one student left the class)
- Average weight of the class = Sum of weights of all students / Number of students
- Sum of weights of all students = Average weight of the class * Number of students
= (45 kg - 100g) * 49
= 44.9 kg * 49
= 2199.1 kg

Step 3: Find the weight of the student who left the class.
- Weight of the student who left the class = Total weight before one student left - Total weight after one student left
= 2250 kg - 2199.1 kg
= 50.9 kg

Hence, the weight of the student who left the class is 49.9 kg.

Therefore, the correct answer is option 'C'.
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