Correct Answer - Option 2 : 31,250
Given:
In a competitive exam, 25% of the students were ineligible to give that exam.
52% of eligible candidates were male and number of eligible female candidates were equal to 11,250.
Concepts used:
Total applicants = Ineligible applicants + Eligible applicants
Eligible applicants = Male eligible applicants + female eligible applicants
Calculation:
Let the total number of applicants be x.
Ineligible applicants = 25% of x = 0.25x
Total applicants = Ineligible applicants + Eligible applicants
⇒ x = 0.25x + Eligible applicants
⇒ Eligible applicants = x - 0.25x = 0.75x
Eligible male applicants = 52% of 0.75x = 0.39x
⇒ Eligible female applicants = 0.75x - 0.39x = 0.36x
Number of eligible female candidates were equal to 11,250.
⇒ 0.36x = 11,250
⇒ x = 11,250/0.36
⇒ x = 31250
∴ Total number of applicants in the exam were equal to 31250.