Question

In an election between 2 contestants, 20% of the total votes were declared invalid and one of the contestants got 35% of the total valid votes. If the total number of votes in that election is 4,850 then what is the total number of valid votes that the other contestant got?

• A. 2,522
• B. 2,512
• C. 2,502
• D. 2,436

Answer 1

The Correct Option is A

Calculating the Votes Received by the Second Contestant:

Step 1: Determine the Number of Valid Votes

The total number of votes is 4,850. Since 20% of the votes are declared invalid, the number of valid votes is: 

\[ \text{Valid votes} = 80\% \times 4,850 \]

\[ = \frac{80}{100} \times 4,850 = 3,880 \]

Step 2: Calculate the Votes of the First Contestant

The first contestant received 35% of the valid votes:

\[ \text{Votes of first contestant} = 35\% \times 3,880 \]

\[ = \frac{35}{100} \times 3,880 = 1,358 \]

Step 3: Determine the Votes of the Second Contestant

The second contestant received the remaining valid votes:

\[ \text{Votes of second contestant} = 3,880 - 1,358 \]

\[ = 2,522 \]

Final Answer:

Thus, the correct answer is (A) 2,522.