Question 77

If 50 less had applied and 25 less selected, the ratio of selected to unselected would have been 9 : 4. So how many candidates had applied if the ratio of selected to unselected was 2 : 1.

Solution

Let the total applied =a  and selected=s
Therefore not selected=a-s
s/(a-s) =2/1
s=2a-2s
3s=2a
s=(2/3)a
Also given (s-25)/(a-s-25)=9/4
(2a-75)/(a-75)=9/4
8a-300=9a-675
a=375


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