A sum of Rs. 400 was distributed among the students of a class. Each boy received Rs. 8 and each girl received Rs. 4.

Correct option is (C) 60

Let there are x number of boys and y number of girls in class.

According to given conditions, we have

8x + 4y = 400                    _____________(1)

And 5x + 10y = 400           _____________(2)

\(\Rightarrow\) 2x + y = 100                 _____________(3)    (By dividing both sides by 4 in equation (1))

And x + 2y \(=\frac{400}5=80\)      _____________(4)    (By dividing both sides by 5 in equation (2))

\(\Rightarrow\) 2 (80 - 2y) + y = 100   (From (3) & (4))

\(\Rightarrow\) 160 - 4y + y = 100

\(\Rightarrow\) 4y - y = 160 - 100

\(\Rightarrow\) 3y = 60

\(\Rightarrow y=\frac{60}3=20\)

\(\therefore\) x = 80 - 2y             (From (4))

= 80 - 40

= 40

\(\therefore\) x+y = 40+20 = 60

Total number of students in the class is 60.

Correct option is C) 60