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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.

  1. $425$
  2. $380$
  3. $400$
  4. None of these

     

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Total percentage of failed candidates =$(30+35−27)=38\%$

Total percentage of passed candidates =$(100−38) =62\%$

Let the total number of students appeared be $x$ then, $62\% * x=248 \implies x=400$​

Option $(C)$ is correct.

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