Question

In an examination, 5% of the applicants were found ineligible and 85% of the eligible candidates
belonged to the general category. If 4275 candidates belonged to other categories, then how many
candidates applied for the examination?​

Answer 1

Step-by-step explanation:

Let the number of candidates applied for examination =x

5% candidate found ineligible

so eligible candidate =100−5=95%

Total eligible candidate=

100

95x

As given 85% of the eligible candidates belonged to the general category

so the eligible candidates belonged to other categories =100−85=15%

Hence total candidate belongs to other categories

=

100

95x

×

100

15

As given total candidate belongs to other categories =4275

⇒

100

95x

×

100

15

=4275

⇒x=

95×15

4275×100×100

⇒x=30000

Answer 2

Step-by-step explanation:

Let the number of candidates applied for examination =x

5% candidate found ineligible

so eligible candidate =100−5=95%

Total eligible candidate=

100

95x

As given 85% of the eligible candidates belonged to the general category

so the eligible candidates belonged to other categories =100−85=15%

Hence total candidate belongs to other categories

=

100

95x

×

100

15

As given total candidate belongs to other categories =4275

⇒

100

95x

×

100

15

=4275

⇒x=

95×15

4275×100×100

⇒x=30000