Two candidates contested an election. The winning candidate scored 54% and won by 88 votes. If 58 votes were declared invalid, find the total number of votes polled in the election?

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JKSSB SI Official Paper (Held On: 16 Dec 2022 Shift 2)
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  1. 1158
  2. 1269
  3. 1050
  4. 1270

Answer (Detailed Solution Below)

Option 1 : 1158
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Detailed Solution

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Given:

Winning candidate's percentage = 54%

Winning margin = 88 votes

Invalid votes = 58

Formula used:

Let total valid votes be V

Winning candidate's votes = 0.54V

Runner-up candidate's votes = 0.46V

Winning margin = Winning candidate's votes - Runner-up candidate's votes

Calculation:

Winning margin = 88

⇒ 0.54V - 0.46V = 88

⇒ 0.08V = 88

⇒ V =

⇒ V = 1100

Total votes polled = Valid votes + Invalid votes

⇒ Total votes polled = 1100 + 58

⇒ Total votes polled = 1158

∴ The correct answer is option 1.

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