Question

In a college union election, only two candidates contested. A candidate secured $41\%$ of the votes, but was defeated by other candidate by $1440$ votes. Totally,how many students did cast their votes?

• A. $2880$
• B. $4320$
• C. $8000$
• D. $5600$

Answer 1

The correct option is C $8000$

Let the total number of votes polled be x

Then, 41 % of x + 1440 = 59 % of x

$\Rightarrow \frac{41}{100}x+1440=\frac{59}{100}x\text{or}1440=\frac{59x}{100}-\frac{41x}{100}\Rightarrow 1440=\frac{18x}{100}\Rightarrow 18x=144000\Rightarrow x=\frac{144000}{18}=8000$

Option C is the correct answer.