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At an election there were two candidates. A candidate got 38% of the total votes and lost by 7200 votes. Find the total number of valid votes.

  • A.273600
  • B.3600
  • C.30000
  • D.27360

Answer: C

The total number of valid votes is 30000.

The winner got 62% and the loser 38%, so the margin is 24% of the votes, which equals 7200.

\[ 0.24\times N=7200 \Rightarrow N=30000 \]

273600, 3600 and 27360 do not satisfy this equation.

The 38% candidate lost by 7200 votes, so the difference between the two candidates, which is 62% − 38% = 24% of the votes, is 7200. One percent is therefore 300 votes and the total of 100% is 30000.

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