In an examination, 30\% and 35\% students respectively failed in History and Geography while 27\% students failed in both the subjects. If the number of students passing the examination is 248, find the total number of students who appeared in the examination.
(a)380
(b)400
(c)425
(d)725
Answer
Answer (as printed): B
Explanation
Percentage of failed candidates $=(30+35-27) \%=38 \%$. Percentage of passed candidates $=(100-38) \%=62 \%$. Let the total number of students appeared be $x$. Then, $62 \%$ of $x=248 \Rightarrow x=\frac{248 \times 100}{62}=400$.
Explanation as extracted from the printed page; notation may be imperfect.