5 thoughts on “The Golden Ratio

  1. Hi J,
    Please give a holistic approach for this:
    4/5 of the voters in Barreily promised to vote for Sonia and the rest to vote for Sushma
    Of the voters , 10% of the voters who had promised to vote for Sonia, did not vote on the election day, while 20% of the voters who had promised to vote for Sushma did not vote on the election day. What is the total no. of votes polled if Sonia got 216 votes?
    a) 200
    b) 300
    c) 264
    d) 100

    • Assuming x people were actually present in the beginning, 0.8x voted for Sonia and 0.2x voted for Sushma. Since 10% and 20% respectively did not vote at all, Sonia got 0.72x and Sushma got 0.16x votes, with a total of 0.88x votes cast. Now, since 0.72x is 216, we get x as 300 and hence 0.88x is 264
      So Final Answer is 264

    • 264, 80x-8x=72x for sonia and 20x-4x=16x (assumed 100x the total voters available)
      now 72x=216 — x=3
      total votes polled – 72x+16x=88x=88*3=264

  2. Assumption: Those who had promised to vote for a given person actually voted for that same person (assuming they voted at all)

    10% of Sonia’s voters didn’t turn up so 90% = 216 => 240 promised to vote for her but this is 4/5 of total pop so pop = 300 out of which 60 were supposed to vote for Sushma. 20% i.e. 12 of those did not turn up so 48 Sushma voters turned up.

    So total votes cast = 216 + 48 = 264. Hence (c)

    regards
    J

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