There are 50 students in a class and the average mark scored by the class i

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There are 50 students in a class and the average mark scored by the class in Maths is 65 out of 100. The total marks scored by all the students except Karan and Arjun is 3080. If the marks scored by Karan & Arjun are same. What is the mark scored by Arjun?

Options:

A . 75

B . 80

C . 85

D . 90

Answer: Option C
:
C
Average

= \frac{Total marks}{Total number of student}

65 = \frac{3080 + Marks scoredbyArjun + Marksscored by Karan}{50}

.
Since marks scored by Arjun =Marks scored by Karan
Marks scored by Arjun +Marks scored by Karan =2

\times

Marks scored by Arjun.
So, 65

\times

50 = 3080 + 2

\times

Marks scored by Arjun.
So, marks scored by Arjun

= \frac{3250 - 3080}{2} = \frac{170}{2} = 85

marks.

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