• # question_answer A candidate gets 71% of votes and wins the election by 765 votes. If there are two candidates, then the total numbers of votes is A)  1800   B)  1850 C)  1860    D)  1812

Let total votes be $x$. $72%$ of  $x-29%$ of  $x=756$ $\Rightarrow$ $\frac{71x}{100}-\frac{29x}{100}=756$ $\Rightarrow$ $42x=75600$ $\Rightarrow$ $x=\frac{75600}{42}$ $\therefore$ $x=1800$