Chauncy, an English bulldog, received 1200 votes in the Mr Bulldog USA competition, giving him approximately 30 percent of the vote. Approximately what percent of the remaining votes would he have needed to receive in order to win 70 percent of the total votes ?

A. 49

B. 55

C. 59

D. 57

Answer : D. 57

Explanation:

Let the total vote is x. then 30% of x = (30/100) * x=1200, or x = (1200 * 100) / 30 or x = 4000
Now, 30% of votes already given…so other 70% of x votes = (70/100) * 4000 = 2800 votes.
Now other needed votes = (70 – 30)% = 40% votes.
So 40% votes of x = (40/100) * 4000 = 1600;
Now he have needed only % of votes = (100 * 1600) / 2800 = 160000 / 2800 = 57.14285714%

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