In the certain examination, 77% candidates passed in English and 34% failed in Mathematics. If 13% failed in both the subjects and 784 candidates passed in both the subjects, then the total number of candidates was [SSC (CGL) 2014] |
A) 1600
B) 1800
C) 1200
D) 1400
Correct Answer: D
Solution :
Let total number of candidates \[=x\] |
Candidate passed in English \[=77\]% |
\[\therefore \]Candidates failed in English \[=(100-77\]%=23% |
and candidates failed in Mathematics \[=34\]% |
Now, candidate failed in both the subjects\[= 13\]% |
\[\therefore \]Candidates passed in both the subjects |
\[=\{(100-[(23+34)-13\]% |
\[=(100- 44)\]%=56% |
Now, it is given that 56% of\[x=784\] |
\[\Rightarrow \] \[\frac{x\times 56}{100}=784\] |
\[\Rightarrow \] \[x=\frac{784\times 100}{56}=14\times 100\] |
\[\Rightarrow \] \[x=1400\] |
\[\therefore \]Total number of candidates = 1400 |
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