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In an election between two candidates A and B, the number of valid votes received by A exceeds those received by B by 15% of the total number of votes polled. If 20% of the votes polled were invalid and a total of 8720 votes were polled, then how many valid votes did B get?

Correct answer: C. 2834

  • A. 2160
  • B. 2420
  • C. 2834
  • D. 3150
  • E. None of these

Explanation

Valid votes were 80% of 8720 votes: 0.80 x 8720 = 6976 votes. Also, A's excess was 15% of 8720 votes = 1308 votes, so B's votes were (6976 - 1308) / 2 = 2834 votes; option b, 2420 votes, does not account for the invalid votes and the stated difference.

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