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: Option C
Solution(By Examveda Team)
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% Now, 9.6% = 4800 So, 1% = $$\frac{{4800}}{{9.66}}$$ Thus, 100% Votes = $$\frac{{4200 \times 100}}{{9.66}}$$ = 50000 Hence, Total Voters = 50000 Alternatively, Let total number of voters were X Invalid Votes = 4% Valid Votes = 96% Total Valid Votes = 96% of X = $$\frac{{96{\text{x}}}}{{100}}$$ = 0.96X Winner gets 55% of Valid Votes, $$ = \frac{{0.96 \times 55}}{{100}} = 0.528{\text{x}}$$ votes Loser gets = (0.96X - 0.528X) = 0.432X Difference = 0. 528 - 0.432 = 0.096X 0.096X = 4800 X = 50000Related Questions on Percentage
A. $$\frac{1}{4}$$
B. $$\frac{1}{3}$$
C. $$\frac{1}{2}$$
D. $$\frac{2}{3}$$
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