Question

15% of the applicants were found to be ineligible to be considered for an exam. If 65% of the eligible candidates belong to general category and the number of eligible candidates belonging to other categories is 5355, find the total number of applicants.

• A. 30000
• B. 18000
• C. 20000
• D. 24000
• E. None of the above

Answer 1

The correct option is B 18000

Let the number of applicants be = x
No. of eligible candidates belonging to other categories $=\frac{85}{100}\times \frac{35}{100}\times x=\frac{119x}{400}=5355$
Therefore, number of applicants, $x=5355\times \frac{400}{119}=18000$