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 ?
1. 7.5
2. 5.5
3. 6.8
4. 4.2
5. 3.5

Answer 1

Correct Answer - Option 3 : 6.8

Given:

Percentage of voters between 18 to 21 years of age = 8%

Percentage of voters who voted between the age of 18 to 21 years = 85%

Calculation:

Let the number of persons eligible to vote be x

Number of eligible persons between 18 and 21 = 8% of x

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

⇒ ( 85/ 100) × ( 8/ 100) ×  x

⇒ (68/1000) × x

Required percentage = (68x/1000) × (1/x) × 100%

⇒ 6.8%

∴ The required percentage is 6.8%