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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
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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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