The average weight of 48 students of a class is 36 kg. If the weights of the teacher and the principal are included, the average becomes 36.76 kg. Fin

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The average weight of 48 students of a class is 36 kg. If the weights of the teacher and the principal are included, the average becomes 36.76 kg. Find the sum of the weights of the teacher and the principal?
1. 95 kg
2. 120 kg
3. 115 kg
4. 110 kg

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Correct Answer - Option 4 : 110 kg

Given:

The average weight of 48 students of a class is 36 kg

Formula used:

Sum of the weight of students = Average × Total number of students

Calculation:

Sum of the weights of 48 students = 48 × 36 = 1728

When we included the Principal and the Teacher, the average becomes 36.76 kg

And, the total number of student and teachers becomes 50.

So, The total new weight becomes = 36.76 × 50 = 1838

Sum of the weight of the principal and the teacher = new weight – initial weight

⇒ 1838 – 1728

⇒ 110 kg

∴ The sum of the weight of the teacher and the principal is 110 kg.