CAT 1994 — QA Question 1
The number of votes not cast for the Praja Party increased by 25% in the National General Election 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.
Answer & solution
- A
1,10,000
- B
1,50,000
1,40,000
- D
1,20,000
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).