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The number of votes not cast for the Praja Party increased by 25% in the National General Elections over those not cast for it in the previous Assembly Polls, and the Praja Party lost by a majority twice as large as that by which it had won the Assembly Polls. If a total 2,60,000 people voted each time, how many voted for the Praja Party in the Assembly Elections?

  1. 1,10,000
  2. 1,50,000
  3. 1,40,000
  4. 1,20,000
asked in Quantitative Aptitude by (7.8k points) 62 211 532 | 970 views

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Elections Votes cast Votes not cast
NGE 260,000 - 1.25x 1.25x
AP 260,000 - x x

From the given conditions,

$(260,000 - 1.25x) - 1.25x = 2(x - (260,000 - x ))$

$\implies 6.5x  = 7,80,000$

$\implies x = 1,20,000$

So, number of people voted for the Praja Party in the Assembly Elections $= 2,60,000 - 1,20,000 = 1,40,000$

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