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In an election held in a town, there were three candidates Arjun, Bhavesh, and Charan. Out of the total registered voters, 18% did not cast their votes. During counting, it was found that 6% of the…

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In an election held in a town, there were three candidates Arjun, Bhavesh, and Charan. Out of the total registered voters, 18% did not cast their votes. During counting, it was found that 6% of the votes polled were declared invalid. Among the valid votes, Arjun received 40% of the votes, while Bhavesh and Charan received the remaining valid votes in the ratio of 7 : 5, respectively. If Arjun won the election by 1,44,525 votes over Charan, then find the total number of registered voters in the town.
  1. 12,50,000
  2. 12,00,000
  3. 15,00,000
  4. 14,40,000

Answer and explanation

Correct answer: A - 12,50,000
Valid votes = 0.82 x 0.94 N = 0.7708N. Arjun gets 40% of these and Charan gets (5/12) x 60% = 25%. The margin is 15% of 0.7708N = 0.11562N = 144525, so N = 12,50,000.

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