Question

In a combined test in G.K and English, 36% candidates failed in G.K., 28% failed in English and 12% failed in both.

(i) Find the percentage of candidates passed.

(ii) If 416 candidates have failed, how many candidates appeared in the test?​

Answer 1

$\Huge{\underline{\sf{Solution-}}}$

$\textsc Candidates failed in G.K only = (36 - 12)$% = $\textsc 24$%

$\textsc Candidates failed in English only= (28-12)$% = $\textsc 16$%

$\textsc Candidates failed in both = 12$%

$\textsc Candidates failed = Candidates failed in one or both the subjects$

=$\textsc(24+16+12)$ %

=$\textsc52$%

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(i) ${\bf{\sf{Candidates \ passed}}}$

= (100 - 52)%

= 48%

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(ii) ${\bf{\sf{If \ 52 \ fail, \ number \ appeared}}}$

= $100$

${\bf{\sf{Then, \ if \ 416 \ fail, \ number \ appeared}}}$

=$(100/52 × 416)$

= $800.$

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