In an election, a total of 5,00,000 voters participated. A candidate got 2,55,000 votes which was 60\% of the total valid votes. What was the percentage of invalid votes?
(a)10\%
(b)12\%
(c)15\%
(d)$\frac{300}{17} \%$
Answer
Answer (as printed): C
Explanation
Let the number of valid votes be $x$. Then, $60 \%$ of $x=255000 \Rightarrow x=\left(\frac{255000 \times 100}{60}\right)=425000$. Number of invalid votes $=(500000-425000)=75000$. $$\text { ∴ } \text { Required percentage }=\left(\frac{75000}{500000} \times 100\right) \%=15 \% .$$
Explanation as extracted from the printed page; notation may be imperfect.