In an election contested between two candidates, 15% of the total voters did not cast their votes and 100 votes got disqualified. The candidate who won the election won by securing 45% of the total votes and won by a margin of 400 votes. Find the total number of voters.

Question

Question

This question was previously asked in

SSC CGL 2022 Tier-I Official Paper (Held On : 09 Dec 2022 Shift 2)

Answer 1

Given:

% voters who did not cast votes = 15%

Number of disqualified votes = 100

Winner candidate won by % of total votes = 45%

Winner candidate won by margin = 400 votes

Formula used:

Total votes cast = Winner's votes + loser's votes - vote margin

Total votes cast = Total votes % - % votes who did not cast vote - disqualified votes.

Calculation:

Let total voters be 100%x

Total votes cast = Total votes % - % votes who did not cast vote.

⇒ 100%x - 15%

⇒ 85%x

Votes got disqualified = 100

thus, Total votes cast = 85%x - 100

Winner got 45% of the total votes cast:

loser got = 45%x - 400

According to the question,

85% - 100 = 45%x + 45%x - 400

⇒ 300 = 90%x - 85%x

⇒ 300 = 5%x

⇒ x = 6000

∴ The total number of voters is 6000.

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