Question

In an election between two candidates, the candidate who gets $30\%$ of the votes polled is defeated by $15000$ votes. The number of votes polled for the winning candidate is:

• A. 11250
• B. 15000
• C. 26250
• D. 3100

Answer 1

The correct option is C.$26250$

Percentage of votes obtained by defeated party $=30\%$

$\therefore$ Percentage of votes obtained by winning party=$100\%-30\%=70\%$

Difference in percentage $70\%-30\%=40\%$

Let there be total of $x$ votes.

Therefore, according to the question,

$\Rightarrow 40\%\times x=15000$

$\Rightarrow x=15000\times \frac{100}{40}$

$\Rightarrow x=37500$

Thus, no. of votes pulled by winning party $70\%\times 37500=26250$