Question

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 examination ?

• A. $30,000$
• B. $35,000$
• C. $37,000$
• D. None of these

Answer 1

The correct option is A $30,000$

Let's assume candidates applied for the examination$=x$
eligible candidates$=95$%of $X$
ineligible candidates$=5$%
eligible candidates(general category)$=85$% of $95$%of $X=0.85\ast 0.95\ast X$
eligible candidates(other category)$=100-(0.85\ast 0.95\ast X)-5$%
So, As per question,
$14.25$% of $X=4275$
$x=30000$