CSATPercentage, Profit & LossPercentage Arithmetic2022

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?

A

15000

B

12000

C

9600

D

5000

Correct Answer: Option A

Explanation

Let's solve this using the 'Gap Method' we learned from the 2019 and 2021 PYQs [44][50].\n\n1. **Find the Percentage Gap**: Candidate X got 56%. Since there are no invalid votes, Candidate Y got the remaining 44% (100 - 56). The winner's margin is the difference: 56% - 44% = **12%**.\n\n2. **Equate to Value**: We are told this margin is 1440 votes. So, 12% of the *Votes Cast* = 1440.\n\n3. **Find Votes Cast (Reverse Percentage)**: If 12% is 1440, then 1% is 120 (1440/12). Therefore, 100% (the total *Votes Cast*) is **12,000**.\n *Caution*: Look at Option (B)—it's 12,000. This is a trap! The question asks for the 'Voters List', not just those who voted.\n\n4. **Find Total Voters List**: The question says only 80% of the list voted. So, our 12,000 represents 80% of the Total List. \n Using the 'Reverse Percentage' logic again [14][62]: \n If 80% = 12,000, then 100% = 12,000 / 0.8 = 15,000.\n\n *Intuitive check*: 15,000 is slightly more than 12,000, which makes sense. 15,000 fits Option (A).

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