Multiple Choice Questions

In a two candidate election 10 of the voters did not cast their ballots 10 of the votes cast were fo...........

Quantitative Aptitude (CPO) Percentage

In a two-candidate election, 10% of the voters did not cast their ballots. 10% of the votes cast were found invalid. The winning

candidate received 54% of the valid votes and a 1620-vote majority. Find the number of people on the voter list who have

registered to vote.

This questions was previously asked in

SSC CPO 9th Nov 2022 Shift 3

25000

26000

24500

25500

To find out the total number of registered voters, follow these steps:

- Let $x$ be the total number of registered voters.

- 10% of these voters did not vote, so 90% voted: $0.9 x$ .

- 10% of the votes cast are invalid: $0.1 \times 0.9 x = 0.09 x$ .

- Valid votes: $0.9 x - 0.09 x = 0.81 x$ .

- Winner received 54% of valid votes, hence winner's votes = $0.54 \times 0.81 x$ .

- Loser's votes = $0.81 x - 0.54 \times 0.81 x = 0.27 \times 0.81 x$ .

- The majority is 1620 votes: $(0.54 \times 0.81 x) - (0.27 \times 0.81 x) = 1620$ .

- Solving $0.27 \times 0.81 x = 1620$ gives: $x = 26000$ .

- Option 2 (26000) is correct.

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