SSC Sample Paper Mock Test-19 SSC CGL Tear-II Paper-1

In an election between two candidates, 75% of the voters cast their votes, out of which 2% votes were declared invalid. A candidates got 9261 votes which were 75% of the valid votes. The total number of voters enrolled in that election was

A) 16000

B) 16400

C) 16800

D) 18000

Correct Answer: C

Solution :

Let the total number of voters enrolled be \[x.\]

Number of votes polled = 75% of \[x=\frac{3x}{4}\]

Number of valid votes \[=\frac{3x}{4}-\frac{2}{100}\times \frac{3x}{4}\]

\[=\frac{3x}{4}-\frac{3x}{200}=\frac{147x}{200}\]

Now, 75% of \[\frac{147x}{200}=9261\] \[\Rightarrow \] \[\frac{3}{4}\] of \[\frac{147x}{200}=9261\]

\[\therefore \] \[x=\frac{9261\times 4\times 200}{3\times 147}=16800\]