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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. How many applicants were there in total in exam?

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. How many applicants were there in total in exam? Correct Answer 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. 

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