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? Select the correct option:  A) 28000  B) 30000  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
<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?