If the ratio of selected to unselected candidates was 14 : 25. If 35 less had applied and 10 less selected, the ratio of selected to unselected would have been 3 : 5. What is the Number of candidates who had applied for a job?

195

Let the number of selected candidate be 14x and the number of unselected candidates be 25x, number of candidates is 195 who had applied for a job.

So, the total number of applied candidates is 14x + 25x = 39x

According to the question,

If 35 less applied, then resulting number of candidates applied is (39x - 35)

And 10 less candidates got selected, then the resulting no. of candidates selected is (14x - 10).

So, the resulting no. of unselected candidates is (applied - selected)

⇒ (39x - 35) - (14x - 10)

⇒ 25x - 25

Now, the given ratio of resulting selected to the resulting unselected candidates is 3 : 5

So, \(\frac{14x - 10}{25x - 25}\) = \(\frac{3}{5}\)

⇒ x = 5,

So, the number of candidates who had applied = 39x

⇒ 39 x 5 = 195.

Therefore number of candidates who applied for job are 195.