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SSC Quantitative Aptitude Percentage Question Bank Percentage (II)

  • question_answer
    8% of the voters in an election did not cast their votes. In the election, there were only two candidates. The winner by obtaining 48% of the total votes defeated his contestant by 1100 votes. The total number of voters in the election was

    A) 21000

    B) 22000

    C) 23500

    D) 27500

    Correct Answer: D

    Solution :

    [d] Let the total number of votes be x. Votes cast = 92% of x \[=\left( \frac{92}{100}\times x \right)=\frac{23x}{25}\] Votes in favour of winning candidate             \[=\frac{48}{100}\times x=\frac{12x}{25}\] Votes polled by defeated candidate             \[=\left( \frac{23x}{25}-\frac{12x}{25} \right)=\frac{11x}{25}\]             \[\frac{12x}{25}-\frac{11x}{25}=1100\] \[\Rightarrow \]   \[12x-11x=27500\] \[\Rightarrow \]               \[x=27500\]


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