In an army selection process, the ratio of selected to unselected was 5:1. If 100 less had applied and 20 less selected, the ratio of selected to unselected would have been 6:1. How many candidates had applied for the process?

Let $$6x$$ candidates applied for the process.

Candidates selected = $$5x$$ and candidates not selected = $$x$$

If candidates applied = $$6x - 100$$

Candidates selected = $$5x - 20$$

=> Candidates not selected = $$(6x - 100) - (5x - 20) = x - 80$$

According to ques,

=> $$\frac{5x - 20}{x - 80} = \frac{6}{1}$$

=> $$5x - 20 = 6x - 480$$

=> $$x = 480 - 20 = 460$$

$$\therefore$$ Number of candidates who applied for the process = $$6 \times 460 = 2760$$

=> Ans - (B)