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  5. Linear Equations in One Variable

8th Class Mathematics Linear Equations in One Variable Question Bank Linear equations in One Variable

  • question_answer
    There were only two candidates in an election. One got \[\text{62 }\!\!%\!\!\text{ }\] votes and was elected by a margin of 144 votes. The total number of voters were _____.

    A)  500                            

    B)  600    

    C)  700                

    D)         800

    Correct Answer: B

    Solution :

    If there were only two candidates and one of them got 62% votes. So, other got (100 - 62)% = 38% votes. Win margin of first candidate \[-(62-38)%\text{ }=24%\] Now, let the total number of voters be x. According to question, we have \[24%\,\,of\,\,x=144\] \[\Rightarrow \frac{24x}{100}=144\Rightarrow 24x=144x100\] \[\Rightarrow x=\frac{144\times 100}{24}=600\] So, the total number of voters \[=600\].


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