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In an election 4% of the votes caste become invalid. Winner gets 55% of casted votes and wins the election by a margin of 4800 votes. Find the total number of votes casted.

a) 45000
b) 48000
c) 50000
d) 52000

Answer: c
Explanation: Winner gets 55% of votes.
As 4% votes were declared invalid so 96% would be the valid votes
So, Winner gets 55% of 96% valid votes
Winner gets % valid votes = $$\frac{{55 \times 96}}{{100}}$$   = 52.8% votes
Loser gets = 96 – 52.8 = 43.2% votes
Difference = 9.6%
9.6% = 4800
1% = $$\frac{{4800}}{{9.66}}$$
100% Votes = $$\frac{{4200 \times 100}}{{9.66}}$$   = 50000
Total Voters = 50000

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