Question
Download Solution PDFThe average of mark of 132 students in a college is 50. If the average of the marks of the passed students is 55 and the average of the marks of the failed students is 35, then what will be the respective ratio of the total marks of passed students and the total marks of failed students?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Number of students = 132
Average marks of all students = 50
Average marks of passed students = 55
Average marks of failed students = 35
Formula:
Average marks = Total marks / Number of students
Solution:
By using the allegation method.
| Passed | Failed | |
| 55 | 35 | |
| 50 | ||
| 15 | 5 |
So the ratio is 15 : 5 or 3 : 1
The total marks of passed students = 3 × 55
The total marks of failed students = 35 × 1
The ratio is
3 × 55 : 35 × 1
33 : 7
Therefore, the respective ratio of the total marks of passed students and the total marks of failed students is 33 : 7
Last updated on Jul 23, 2025
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