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      Question

      In an election, Modi and Kejriwal participated. 2/5 of

      the voters promised to vote for Modi and rest promises to vote for Kejriwal. However on the day of voting 15% of the voters to vote for Modi actually voted for Kejriwal and 25% of the voters to vote for Kejriwal actually voted for Modi. Find the total number of voters, if Kejriwal wins by 850 votes.
      A 55,000 Correct Answer Incorrect Answer
      B 48,450 Correct Answer Incorrect Answer
      C 42,500 Correct Answer Incorrect Answer
      D 52,560 Correct Answer Incorrect Answer

      Solution

      Let the number of voters be 500 No. of voters promised to vote for Modi = 2/5 × 500 = 200 No. of voters promised to vote for Kejriwal = 3/5 × 500 = 300 No. of voters who went back(15%) = 15/100 × 200 = 30 No. of voters who went back(25%) = 25/100 × 300 = 75 Total votes for Modi = 200 – 30 + 75 = 245 Total votes for Kejriwal = 300 + 30 - 75 = 255 Difference of voters = 255 – 245 = 10 ∴ Total no. of voters = (850 ×500)/10 = 42,500

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