In an election between two candidates, Dinesh received 46.5% of the total votes and lost to Rizwan by a margin of 3150 votes. If all votes cast were valid, how many votes did Rizwan secure?
24,075
Dinesh received 46.5% and Rizwan received 53.5% of total votes. The margin = 53.5% − 46.5% = 7% = 3,150 votes.
Total votes = \(\dfrac{3150}{0.07} = 45{,}000\)
Rizwan's votes = \(53.5\% \times 45{,}000 = 0.535 \times 45{,}000 = 24{,}075\)
The candidate chose D (25,050) which uses an incorrect total. The correct answer is : 24,075.
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