Multiple choice

The average score of 132 students of the college is 40. If the average of the marks of the passed students is 42 and the average of the marks of unsuccessful students is 20, what will be the respective ratio of the total marks of the passed students and the total marks of the unsuccessful students?

  1. 21: 1

  2. 23: 2

  3. 19: 11

  4. 9: 2

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let P=passed students, F=failed students. Total: 132×40=5280 marks. Also: 42P+20F=5280 and P+F=132. Solving: 42P+20(132-P)=5280, so 22P=5280-2640=2640, P=120, F=12. Ratio of marks: (42×120):(20×12)=5040:240=21:1.