In an examination, 5% of the applicants were found ineligible and 85% of the eligible candidates belonged to the general category. If 4275 eligible candidates belonged to other categories, then how many candidates applied for the examinations ?

Answer: Option A

Let the total number of applicants be $$x$$
Number of eligible candidates = 95 % of $$x$$
Eligible candidates of other categories
= 15% of (95 of $$x$$)
= $$\left(\frac{15}{100}\times \frac{95}{100}\times x\right)$$
= $$\frac{57x}{400}$$
∴ $$\frac{57x}{400}$$ = 4275
⇒ $$x$$ = $$\left(\frac{4275\times 400}{57}\right)$$
⇒ $$x$$ = 30000