Question : The average mark obtained by 150 students in an examination is 40. If the average marks of passed students are 60 and those of failed students are 20, what is the number of students who passed the examination?
Option 1: 25
Option 2: 50
Option 3: 75
Option 4: 100
Correct Answer: 75
Solution :
Let the number of students who pass be $x$.
Total marks obtained = 150 × 40 = 6000
According to the question,
60$x$ + (150 – $x$)20 = 6000
⇒ 60$x$ + 3000 – 20$x$ = 6000
⇒ 40$x$ = 3000
⇒ $x$ = 75
Hence, the correct answer is 75.
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