Question

In an examination $80\%$ students passed in English and $70\%$ students passed in Maths. $10\%$ students failed in both the subjects. If $144$ students passed in both the subjects find the total number of students.

• A. $220$
• B. $230$
• C. $240$
• D. $250$

Answer 1

Answer: (C)

$240$

Student Passed in English $=80\%$

Students failed in English$=100\%-80\%=20\%$

Students passed in Maths $=70\%$

Students failed in Maths $=100\%-70\%=30\%$

Students failed in both $=10\%$

Total failed students $=$ Failed in English $+$ failed in Math $-$ Common

Total fail students $=20\%+30\%-10\%=40\%$

If $40\%$ failed then $60\%$ will be passed.

Let total students be $x$.

Hence, $60\%$ of $x=144$

$\Rightarrow \frac{60}{100}\times x=144$

$\Rightarrow x=\frac{144\times 100}{60}$

$\Rightarrow x=240$

Therefore, total students is $240$.