Question

In an election, 80% of eligible voters cast their votes. Of these votes, 5% were declared invalid. If a winning candidate received 11,400 votes, which accounted for 60% of the total valid votes, what was the total number of eligible voters enrolled in that election?

• A. 20,000
• B. 22,500
• C. 25,000
• D. 27,500

Answer 1

Answer:

C. 25,000

Winning candidate received 11,400 votes, which is (60%) of the valid votes.

Let total valid votes be (V).

$60\% \text{ of } V = 11,400$
$\frac{60}{100}V = 11,400$

$V = \frac{11,400 \times 100}{60} = 19,000$

So, total valid votes (= 19,000).

Since (5%) votes were invalid, valid votes are (95%) of total votes cast.

Let total votes cast be (C).

$95\% \text{ of } C = 19,000$
$C = \frac{19,000 \times 100}{95} = 20,000$

Now, (80%) of eligible voters cast votes.

Let total eligible voters be (E).

$80\% \text{ of } E = 20,000$
$E = \frac{20,000 \times 100}{80} = 25,000$

$\boxed{25,000}$