In an army selection process, the ratio of selected to unselected was 3:1. If 60 less had applied and 30 less selected, the ratio of selected to unselected would have been 5:1. How many candidates had applied for the process?

Let $$4x$$ candidates applied for the process.

Candidates selected = $$3x$$ and candidates not selected = $$x$$

If candidates applied = $$4x - 60$$

Candidates selected = $$3x - 30$$

=> Candidates not selected = $$(4x - 60) - (3x - 30) = x - 30$$

According to ques,

=> $$\frac{3x - 30}{x - 30} = \frac{5}{1}$$

=> $$3x - 30 = 5x - 150$$

=> $$2x = 150 - 30 = 120$$

=> $$x = \frac{120}{2} = 60$$

$$\therefore$$ Number of candidates who applied for the process = $$4 \times 60 = 240$$

=> Ans - (A)