If 50 less had applied and 25 less selected, the ratio of selected to unselected would have bee 9 : 4. So how many candidates had applied if the ratio of selected to unselected was 2 : 1?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 375
Total applied = x
Selected = y
Not selected = x - y
y / (x - y) = 2/1
y = 2x - 2y
3y = 2x
y = (2/3)x
Also,
(y - 25)/(x - y - 25) = 9/4
(2x - 75)/(x - 75) = 9/4
8x - 300 = 9x - 675
x = 375