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Explanation:

Let x be the number of votes not cast for Praja Party in the previous polls.

So the number of votes not cast for the party in this assembly polls would be 1.25x.

Margin of victory in the previous polls
= (Votes cast) – (Votes not cast)
= (260000 – x) – x = (260000 – 2x).

Margin of loss in this years polls
= 1.25x – (260000 – 1.25x)
= (2.5x – 260000).

As per the given information, margin of loss this year = 2 × Margin of victory last year.

Therefore, (2.5x – 260000) = 2(260000 – 2x).
∴ x = 120000.

So the number of votes cast for the party in assembly election = 260000 – 120000 = 140000.

Hence, option (c).

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