Four students A, B, C and D are running around a circular playground in a college and they take 1. 5 min, 25min, 35min and 20min respectively to complete one round. If a prize money of Rs. K is divided in the ratio of their speeds, then the student who receives_maximum share is

Let say, distance cover by them in the playground is d.

So, Speed of A,B,C and D are

(d/1.5),(d/25),(d/35) and (d/20).

So,they will receive money in following ratio:

(d/1.5):(d/25):(d/35):(d/20)

=(1/1.5):(1/25):(1/35):(1/20)

=(2100/1.5):(2100/25):(2100/35):(2100/20)

=1400:84:60:105.

So, 

A will get=1400K/1649.

B will get=84K/1649.

C will get=60K/1649.

D will get=105K/1649.

So, A will get maximum amount.

A is correct choice.