Question

In an examination $30\%$ and $35\%$ students respectively fail in History and Geography while $27\%$ students failed in both the subjects. If the number of students passing the examination is $248$, then find thew total numbers of student who appeared in the examination.

• A. $425$
• B. $400$
• C. $380$
• D. $725$

Answer 1

The correct option is B $400$

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 $x=248$

$\Rightarrow x=\frac{248\times 100}{62}$

$\therefore x=400$