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10 months ago

Question :

How many candidates who contested in constituency B lost their security deposit?

Answer : 11

Explanatory Answer

We know that candidates who failed to secure more 1/6 th of total valid votes lose their
security deposit.
Let us put the information we have in a table:
• From (1), we know that the 2 nd runner-up in A polled 95000-10000 = 85000 votes
• From (2), we know that everyone in C secured more than (1/ 6)* 600030 = 100005 votes . Also,
the minimum difference between any 2 candidates’ votes was 10,000.
• From (3), let’s assume the total no. of votes polled in D was 100x. Then votes polled by winner =
37,500 + 5x.
Also, we know that candidates who lost their deposit in D together polled 35% votes . 

    

Total votes polled in B = 3,25,000
1/6 th of 325000 = 54166.66 ̴ 54167
We can see that the winning candidate also secured less than 1/6 th of the total valid votes.
Hence, the rest 11 candidates must have secured lesser votes than that.
Hence, 11 candidates lost their security deposit in B. 

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