Question

$8\%$ of the people eligible to vote are between $18$ and $21$ years of age. In an election, $85\%$ of those eligible to vote, who were between $18$ and $21$, actually voted. In that election, the number of persons between $18$ and $21$, who actually voted, was what percent of those eligible to vote?

• A. $8$
• B. $6.8$
• C. $6.4$
• D. $4.2$

Answer 1

Answer: (B)

Let $x$ be the number of persons eligible to vote,

Hence the nuber eligible persons between $18$ and $21=8$ of $x$.

Number of persons between $18$ and $21$, who voted $=85$ of ($8$ of $x$)

Implies that

$\left(\frac{85}{100}\times \frac{8}{100}\times x\right)=\frac{6}{1000}x.$

Hence the required percentage

$\left(\frac{68x}{100}\times \frac{1}{x}\times 100\right)\%=6.8\%$