Multiple choice

In a History examination, the average for the entire class was $80$ marks. If $10$% of the student scored $95$ marks and $20$% scored $90$ marks, what was the average marks of the remaining students of the class?

  1. $65.5$
  2. $72.5$
  3. $75$
  4. $85$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let total students be 100. Total marks = 100 * 80 = 8000. 10 students scored 95 (950 marks), 20 students scored 90 (1800 marks). Remaining 70 students scored 8000 - 2750 = 5250. Average = 5250 / 70 = 75.

AI explanation

Assume there are 100 students in the class, making the total marks 100 multiplied by 80, which is 8000. The 10 percent who scored 95 have a total of 950, and the 20 percent who scored 90 have a total of 1800. The remaining 70 students have a total of 8000 minus 950 minus 1800, equaling 5250. Dividing this by 70 gives the average of the remaining students, which is 75.