Q75 of 90 Page 133

At an election involving two candidates, 68 votes were declared invalid. The winning candidate secure 52% and wins by 98 votes. The total number of votes polled is?

Let the total number of the vote be x


68 vote are invalid, so the remaining total vote = x – 68


The winning candidate secure 52% and other is 48%




And other secure 48%




According to the question,


0.52 × (x–68)–0.48 × (x–68) = 98


0.52x–0.48x–35.36 + 32.64 = 98


0.04x = 98 + 2.72


0.04x = 100.72



x = 2518


So the total vote is 2518


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