Question

In a class, Ashwin finds that number of students who have performed better than him is thrice the number of students who have done worse than him. If Ashwin’s rank is 61, then the total number of students in the class is equal to
(A) 80
(B) 81
(C) 82
(D) 83

Answer 1

Answer:

The total number of students in the class is equal to 81.

Step-by-step explanation:

Let the total number of students in the class be x.

Ashwin's rank is 61.

This implies that 60 students performed better than Ashwin.

And $(x-61)$ students performed worse than Ashwin.

It is given that, $60 = 3 (x - 61)$.

Solve for x as follows:

$60 = 3 (x - 61)\\60=3x-183\\3x=243\\x=\frac{243}{3}\\ =81$

Thus, the total number of students in the class is 81.