7th Class Mathematics Comparing Quantities Question Bank Comparing Quantities

  • question_answer
    In an election between two candidates, the candidate who gets 30% of the votes polled is defeated by 15000 votes. What is the number of votes polled for the winning candidate?                            

    A)  37500            

    B)  30000            

    C)         26250        

    D)         11250                        

    Correct Answer: C

    Solution :

    Let the total number of votes polled be x. Then, 30% of \[x+15000=70%\]of x \[\Rightarrow \]            \[\frac{30}{100}x+15000=\frac{70}{100}x\] or         \[15000=\left( \frac{70-30}{100} \right)x\] \[\Rightarrow \]            \[x=\frac{15000\times 100}{40}=37500\] \[\therefore \] Total number of votes polled = 37500 Number of votes polled for winning candidate = 70% of 37500             \[=\frac{70}{100}\times 37500=26250\]


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