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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?
1. 38,400
2. 31,250
3. 30,000
4. 40,000

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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. 

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