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 examinations ?
A. 30000
B. 35000
C. 37000
D. None of these
Answer: Option A
Solution(By Examveda Team)
Let the total number of applicants be $$x$$Number of eligible candidates = 95 % of $$x$$
Eligible candidates of other categories
= 15% of (95 of $$x$$)
= $$\left( {\frac{{15}}{{100}} \times \frac{{95}}{{100}} \times x} \right)$$
= $$\frac{{57x}}{{400}}$$
∴ $$\frac{{57x}}{{400}}$$ = 4275
⇒ $$x$$ = $$\left( {\frac{{4275 \times 400}}{{57}}} \right)$$
⇒ $$x$$ = 30000
Related Questions on Percentage
A. $$\frac{1}{4}$$
B. $$\frac{1}{3}$$
C. $$\frac{1}{2}$$
D. $$\frac{2}{3}$$
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