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      Question

      Ravi, Sanjay, and Vinay contested an election in which

      7250 votes were polled and none of the votes were invalid. Sanjay got 55% more votes than the total votes obtained by Ravi and Vinay together. If Vinay obtained only 10% of the total polled votes, find the number of votes obtained by Ravi.
      A 2481 Correct Answer Incorrect Answer
      B 2027 Correct Answer Incorrect Answer
      C 2118 Correct Answer Incorrect Answer
      D 2315 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Votes Polled= 7250   Votes by Vinay: 10% of 7250 = 10 /100 × 7250 =725 Votes by Sanjay= 55% more than the combined votes of Ravi and Vinay Let the Combined Votes of Ravi and Vinay= 100 Votes by Sanjay= 155 So, total hypothetical units = 100 (Ravi + Vinay) + 155 (Sanjay) = 255 ATQ- 255 units = 7250 votes 1 unit = 7250/255 =28.43 votes Votes by Ravi and Vinay = 100 × 28.43 = 2843 votes Votes by Vinay = 725 Votes by Ravi = 2843-725 = 2118.

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