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
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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