In an examination , 5% of the applicants were found ineligible and 85% of the…
2023
In an examination , 5% of the applicants were found ineligible and 85% of the eligible candidates belonged to the general category. If 4275 eligible candidates belonged to other categories , then how many candidates applied for the examination ?
- A.
28000
- B.
32000
- C.
30000
- D.
33000
Attempted by 95 students.
Show answer & explanation
Correct answer: C
Answer: 30000
Let x be the total number of applicants.
5% were ineligible, so eligible candidates = 95% of x = 0.95x.
85% of eligible belong to the general category, so other categories = 15% of eligible = 0.15 × 0.95x = 0.1425x.
Given other categories = 4,275, set 0.1425x = 4,275. Solve: x = 4,275 ÷ 0.1425 = 30,000.
Verification: Eligible = 0.95 × 30,000 = 28,500; other categories = 0.15 × 28,500 = 4,275, which matches the given value.