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Q.

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?

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a

30, 000

b

35, 000

c

37, 000

d

None of these

answer is A.

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Detailed Solution

The number of eligible other categories is $0.85 (0.95 x)$

The number of candidates in the above category is $4275$

Hence,

$\begin{array}{rcl} 0.15 \times 0.95 x & = & 4275 \\ x & = & \frac{4275}{(0.15) (0.95)} \\ = & 30000 \end{array}$

Hence the total number of students applied for the examination is $30000$

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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?