Two candidates X and Y contested an election. 80% of voters cast their vote and there were no invalid votes. There was no NOTA (None of the above) option. X got 56% of the votes cast and won by 1440 votes. What is the total number of voters in the voters list?
- A15000Correct
- B12000
- C9600
- D5000
Explanation
Here's a brief explanation:
- Calculate the vote share for candidate Y: Since X got 56% of the votes cast, Y must have received 100% - 56% = 44% of the votes cast.
- Determine the percentage difference in votes: X won by a margin of 56% - 44% = 12% of the votes cast.
- Calculate the total votes cast: This 12% difference corresponds to 1440 votes. So, 12% of votes cast = 1440. Total votes cast = 1440 / 0.12 = 12000 votes.
- Calculate the total number of voters in the voters list: The 12000 votes cast represent 80% of the total voters in the voters list. Total voters = 12000 / 0.80 = 15000.
Therefore, the total number of voters in the voters list is 15000.
Option A is correct. Option B (12000) is the number of votes cast, not the total number of voters. Options C and D are incorrect calculations.

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