In a competitive exam, 25% of the students were ineligible to give tha

1.	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. 38,4002. 31,2503. 30,0004. 40,000
Answer» 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.

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. 38,4002. 31,2503. 30,0004. 40,000

Answer» 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.