In a recent election, Geoff received 0.5 percent of the 6,000 votes cast. To win the election, a candidate needed to receive more than x% of the vote. If Geoff needed exactly 3,571 more votes to win the election, what is the value of x ?
(A) 50
(B) 54
(C) 56
(D) 60
(E) 63
Ok guys - I did solve it and got the right answer too, but it was bit of a guess work too. So though to double check.
Votes Geoff received = \(\frac{0.5}{100}\) * 6000 = 30 votes
Total votes required = 30 + 3571 = 3601. -----------------------(This is the guess work)
I took 3600 to force the answer and I got 60 %. Please see below how:
\(\frac{3600}{6000}\) * 100 = 60. I am still not convinced. can someone please help? That x% bit in question is giving me headache
Geoff received 0.5/100*6,000=30 votes. He needed EXACTLY 30+3571=3601 votes, which is
than 60% of 6,000 (0.6*6,000=3,600). Since a candidate needed to receive more than x% then x=60%.