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?
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 $= 2,60,000 - 1,20,000 = 1,40,000$