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In an election, two candidates, Ramya and Urmila, were competing. On the election day, 12% of voters did not cast their vote. Out of the remaining votes, 15% were declared invalid. Urmila won the election by 5000 votes and she got 19,330 votes. What was the total number of voters initially?

1. 40,000
2. 35,000
3. 28,000
4. 45,000

Correct answer: 45,000

Solution

Urmila got 19,330 votes and won by 5,000 votes, so Ramya got 14,330 votes. Hence valid votes = 19,330 + 14,330 = 33,660. Since these are 85% of the votes cast, votes cast = 33,660 ÷ 0.85 = 39,600. This is 88% of the initial voters, so initial voters = 39,600 ÷ 0.88 = 45,000.

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