Question

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.

A 125 Correct Answer Incorrect Answer
B 250 Correct Answer Incorrect Answer
C 375 Correct Answer Incorrect Answer
D 500 Correct Answer Incorrect Answer

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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