a) 30000
b) 35000
c) 37000
d) 39000
Answer: a
Explanation:
$$\eqalign{
& {\text{Let the total number of applicants be x}}. \cr
& {\text{Number of eligible candidates}} \cr
& = {\text{ }}95\% {\text{ }}of{\text{ }}x \cr
& {\text{Eligible candidates of other categories}}, \cr
& = 15\% \,of\,\left( {95\% {\text{ }}of{\text{ }}x} \right) \cr
& = {\frac{{15}}{{100}}} \times {\frac{{95}}{{100}}} \times x \cr
& = \frac{{57}}{{400}}x \cr
& or,\left( {\frac{{57}}{{400}}} \right)x \cr
& x = \frac{{ {4275 \times 400} }}{{57}} \cr
& \,\,\,\,\,\, = 30000 \cr} $$
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