Question 14

A, B, C and D are four students in a class. A's total score is 20% less than B's total score, C's total score is 25% more than A's total score, D's total score is 20% more than A's total score. If the least total score among the scores is 240, then the ratio of the scores of the four students in the decreasing order is

Solution

Let say A,B,C,D' scores are a,b,c,d respectively.

According to question,

a=0.80b , c=1.25a and d=1.2a

So, we can say that:

c=1.25×0.80b=b

and d=1.2a×0.80b=0.96b.

So,lowest among 0.80b,b,b and 0.96b is 0.80b.

So,0.80b=240

or,b=300.

So,c=300 and d=288.

So, required ratio

300:300:288:240

=25:25:24:20

C is correct choice.

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