Question : While finding the average marks of a class, Vikas’s marks were wrongly entered as 98 in place of 89. Due to this error, the average marks of the class were 0.25 more than the actual average. What is the number of students in the class?
Option 1: 32
Option 2: 38
Option 3: 34
Option 4: 36
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Correct Answer: 36
Solution :
Wrongly entered marks = 98
Actual marks = 89
Average marks = actual average + 0.25
Let $x$ be the number of students.
Increase in marks = 98 – 89 = 9
Increase in average marks = $\frac{9}{x}$
So, 0.25 = $\frac{9}{x}$
⇒ $x$ = $\frac{9}{0.25}$ = 36
Therefore, the total number of students = 36
Hence, the correct answer is 36.
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