In a class of 100 students there are 70 boys whose average marks in a subject are 75

In a class of 100 students there are 70 boys whose average marks in a subject are 75. If the average marks of the complete class is 72, then what is the average of the girls?

  1. 74
  2. 65
  3. 68
  4. 73

Answer

Number of girls = 100 - 70 = 30

Total marks of 100 students = 100 x 72 = 7200

Total marks of 70 boys = 70 x 75 = 5250

This implies that total marks of 30 girls = 7200 - 5250 = 1950

Therefore, average marks of girls = 1950/30 = 65

The correct option is B.