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In a recent election, James received 0.5 percent of the 2,00

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by BTGmoderatorDC » Tue Sep 10, 2019 5:42 pm

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In a recent election, James received 0.5 percent of the 2,000 votes cast. To win the election, a candidate needed to receive more than 50 percent of the vote. How many additional votes would James have needed to win the election?

A. 901
B. 989
C. 990
D. 991
E. 1,001

OA D

Source: Official Guide
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Source: — Problem Solving |

by Jay@ManhattanReview » Thu Sep 12, 2019 3:12 am
BTGmoderatorDC wrote:In a recent election, James received 0.5 percent of the 2,000 votes cast. To win the election, a candidate needed to receive more than 50 percent of the vote. How many additional votes would James have needed to win the election?

A. 901
B. 989
C. 990
D. 991
E. 1,001

OA D

Source: Official Guide
No. of votes needed to win the election = 50% of 2,000 + 1 = 1,001

No. of votes James received = 0.5% of 2,000 = 10

Thus, no. of additional voted needed = 1,001 - 10 = 991

The correct answer: D

Hope this helps!

-Jay
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by Scott@TargetTestPrep » Thu Sep 12, 2019 6:17 pm
BTGmoderatorDC wrote:In a recent election, James received 0.5 percent of the 2,000 votes cast. To win the election, a candidate needed to receive more than 50 percent of the vote. How many additional votes would James have needed to win the election?

A. 901
B. 989
C. 990
D. 991
E. 1,001

OA D

Source: Official Guide
Note that to win the election, one must garner at least 1 more than half of the votes cast. Thus, the winner must get at least 2,000/2 + 1 = 1,001 votes.

James initially received 0.5/100 x 2,000 = 10 votes. James needed 1,001 - 10 = 991 more votes to win.

Answer: D

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by deloitte247 » Sat Sep 14, 2019 7:23 am
Total votes = 2000
% needed to win = 50% of 2000
$$\frac{50}{100}\cdot2000=1000$$
$$\%\ of\ votes\ received\ by\ James\ =\ 0.5\%f\ 2000=10 votes$$

Since Total votes needed to win = 1000 votes and James already have 10 votes.
Amount of votes needed to win = 1000 - 10 = 990 votes
Note that the amount needed to win is greater than 50%
Ans = 990+1=991 votes because votes needed to win must be greater than not equal to 50%

$$Answer\ is\ OptionD$$
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by mihiir_r » Sat Sep 14, 2019 3:38 pm
The number of votes received is 0.5%*2000 = 10.
Number of votes to be received to win the election = 50%*2000 + 1 = 1001
Hence number of voted required to win = 1001-10 = 991
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