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For faculty positions in a college, 75% of the applicants were shortlisted and called for the interview. But, out of them only 60% appeared for the interview. After the interview, 27 people were selected for the job, which was only 4% of the ones that appeared in the interview. How many applications were received by the college?

For faculty positions in a college, 75% of the applicants were shortlisted and called for the interview. But, out of them only 60% appeared for the interview. After the interview, 27 people were selected for the job, which was only 4% of the ones that appeared in the interview. How many applications were received by the college? Correct Answer 1500

Let ‘x’ applications were received by the college

⇒ No. of applications shortlisted and called for interview = 75% of x = 3x/4

⇒ No. of people that appeared for interview = 60% of (3x/4) = (60/100) × (3x/4) = 9x/20

⇒ No. of people that were selected = 4% of (9x/20) = (4/100) × (9x/20) = 9x/500

According to question,

⇒ 9x/500 = 27

⇒ x = (500/9) × 27 = 1500

∴ 1500 applications were received by the college

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