Question

In an election between two candidates, one got $55\%$ of the total valid votes, $20\%$ of the votes were invalid. If the total number of votes was $7500$, the number of valid votes that the other candidate got, was:

• A. $3260$
• B. $2700$
• C. $1290$
• D. $1600$

Answer 1

Answer: (B)

$2700$

In an election, $20\%$ of the total votes were invalid.

$\therefore 80\%$ of the total votes were valid.

Now since one of the candidates got $55\%$ of the total valid votes, the other candidate got $45\%$ of the total valid votes.

Thus, number of votes obtained by the other candidate $=\frac{45}{100}\times \frac{80}{100}\times 7500=\frac{9}{20}\times \frac{4}{5}\times 7500=36\times 75=2700$