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?
Choose the correct choice from the following choices:
A) 28000  B) 30000 candidates  C) 32000  D) 33000  E) None of these
Explanation :   Let the number of candidates applied for the examination = x   Given that 5% of the applicants were found ineligible.   It means that 95% of the applicants were eligible (∴ 100% - 5% = 95%)   Hence total eligible candidates = 95x/100   Given that 85% of the eligible candidates belonged to the general category   It means 15% of the eligible candidates belonged to other categories(∴ 100% - 85% = 15%)   Hence Total eligible candidates belonged to other categories   = total eligible candidates × (15/100) = (95x/100) × (15/100)   = (95x × 15)/(100 × 100)   Given that Total eligible candidates belonged to other categories = 4275   ⇒ (95x × 15)/(100 × 100) = 4275   ⇒ (19x × 15)/(100 × 100) = 855   ⇒ (19x × 3)/(100 × 100) = 171   ⇒ (x × 3)/(100 × 100) = 9   ⇒ x/(100 × 100) = 3   ⇒ x = 3 × 100 × 100 = 30000   Answer : Option 30000 candidates
<result>B</result>
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?