Question

The Number of students in section A and B are 40 and 60 respectively. The average score in physics of students in section A is 35 and that of students in section A and B together is 50.  What is the average score of the students of section B in physics?

1. 55
2. 45
3. 60
4. 50
5. None of these

Answer 1

Correct Answer - Option 3 : 60

Given:

Total number of students in section A = 40

Total number of students in section B = 60

Average score of students of section A in physics = 35

Average score of students of A and B together in physics = 50

Concept:

Average score = Total score/Total number of students

Calculation:

Let the average of all the students of section B in physics = x

Total score of all the students in physics of section A = 40 × 35 = 1400

Total score of all the students in physics of section B = 60 × (x) = 60x

Total score of all the students in physics of section A and B together = (40 + 60) × 50 = 5000

Hence, we get

1400 + 60x = 5000

60x = 3600

x = 60

∴ Average score of student of section B in physics is 60