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

Since the ratio of selected to unselected was 2 : 1;

Selected candidates = 2x, 

Unselected candidates = x and 

total applied candidates = 3x

If 50 less had applied and 25 less selected, the ratio of selected to unselected would have been 9 : 4

Total applied candidates = (3x – 50)

And Selected candidates = (2x – 25) and Unselected candidates = x – 50 + 25

(2x – 25) / (x – 25) = 9/4

x = 125

Total number of candidates who applied = 3x = 375

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