There were two candidates in an election. 75% of the voters cast their votes, out of which 2% of the votes were found invalid. A candidate got 9261 vo - Quantitative Aptitude MCQ Competitive Exams 2026 | ExamTest.live

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There were two candidates in an election. 75% of the voters cast their votes, out of which 2% of the votes were found invalid. A candidate got 9261 votes which represented 75% of the total valid votes. Find the total number of enrolled voters.

Solution & Step-by-step Explanation

Let the total number of enrolled voters be V . * Votes cast = 75% of V = \frac{3}{4} V * Invalid votes = 2%, so Valid votes = 98% of votes cast Valid Votes = \frac{98}{100} \times \frac{3}{4} V = \frac{49}{50} \times \frac{3}{4} V The candidate received 75% of the valid votes, which equals 9261: \frac{3}{4} \times (\frac{49}{50} \times \frac{3}{4} V) = 9261 \frac{441}{800} V = 9261 V = \frac{9261 \times 800}{441} Since 9261 \div 441 = 21 : V = 21 \times 800 = 16, 800

Try it yourself before checking the explanation above.

There were two candidates in an election. 75% of the voters cast their votes, out of which 2% of the votes were found invalid. A candidate got 9261 votes which represented 75% of the total valid votes. Find the total number of enrolled voters.

16,800

26,600

11,600

16,505

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