UPSC Prelims 2022·CSAT·Quantitative Aptitude·Arithmetic

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?

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Last updated 23 May 2026, 3:31 pm IST
  1. A15000Correct
  2. B12000
  3. C9600
  4. D5000

Explanation

Here's a brief explanation: 1. 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. 2. Determine the percentage difference in votes: X won by a margin of 56% - 44% = 12% of the votes cast. 3. 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. 4. 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.
Quantitative Aptitude: Two candidates X and Y contested an election. 80% of voters cast their vote and there were no invalid votes. There was n

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