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Question : The average mark obtained by 140 students in an examination is 90. If the average mark of passed students is 120 and the number of students who failed in the examination is 90, then what are the average marks of students who failed in the examination?

Option 1: 60

Option 2: 73.33

Option 3: 85.66

Option 4: 88


Team Careers360 9th Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

Correct Answer: 73.33


Solution : Let the average marks of failed students be $x$.
Total students = 140
The number of students who failed = 90
The number of students who passed = 140 – 90 = 50
According to the question,
90$x$ + 50 × 120 = 140 × 90
⇒ 90$x$ + 6000 = 12600
⇒ 90$x$ = 6600
⇒ $x$ = 73.33
Hence, the correct answer is 73.33.

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