In an election between two candidates, 75% of the voters cast their votes, out of which 2% of the votes were… · ABC26GN2123
Subject: General Aptitude · Chapter: Percentage
In an election between two candidates, 75% of the voters cast their votes, out of which 2% of the votes were declared invalid. A candidate got 9261 votes which were 75% of the total valid votes. Find the total number of votes enrolled in that election.
Answer
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Explanation
Let the total number of votes enrolled be $x$. Then, Number of votes cast $=75\%$ of $x$. Valid votes $=98\%$ of ($75\%$ of $x$). $75\%$ of $[98\%$ of $(75\%$ of $x)]=9261 \Leftrightarrow \left(\frac{75}{100}\times\frac{98}{100}\times\frac{75}{100}\times x\right)=9261 \Leftrightarrow x=\left(\frac{9261\times 100\times 100\times 100}{75\times 98\times 75}\right)=16800$.
Explanation as extracted from the printed page; notation may be imperfect.