Question : The average marks obtained by 80 students in an examination is 50. If the average marks of passed students is 55 and the number of students who failed the examination is 30, then what are the average marks of students who failed the examination?
Option 1: 41.66
Option 2: 46.66
Option 3: 40.33
Option 4: 52.33
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Correct Answer: 41.66
Solution :
Number of students = 80
Average marks of all students = 50
Number of students failed = 30
Average marks of passed students = 55
Total marks = 80 × 50 = 4000
Number of passed students = Total students – number of failed students = 80 – 30 = 50
Total marks of passed students = 50 × 55 = 2750
Total marks of failed students = Total marks – failed student marks = 4000 – 2750 = 1250
Average marks of failed students = $\frac{1250}{30}$ = 41.66
Hence, the correct answer is 41.66.
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