Question

In an election, candidate $A$ got $75\%$ of the total valid votes. If $15\%$ of the total votes were declared invalid and the total numbers of votes is $560000$, find the number of valid vote polled in favour of candidate.

• A. $357000$
• B. $280000$
• C. $387500$
• D. $355700$

Answer 1

Answer: (A)

$357000$

Total number of invalid votes $=15\%$ of $560000$
$=\frac{15}{100}\times 560000=\frac{8400000}{100}=84000$
Total number if valid votes $560000-84000=476000$
Percentage of votes polled in favour of candidate $A$ $=75\%$
Therefore, the number of valid votes polled in favour of candidate $A$ $=75\%$ of $476000$
$=\frac{75}{100}\times 476000=\frac{35700000}{100}=357000$