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Math Expert
Joined: 02 Sep 2009
Posts: 44566

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27 Jul 2016, 01:50
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45% (medium)

Question Stats:

70% (01:28) correct 30% (01:18) wrong based on 57 sessions

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Chauncy, an English bulldog, received 1,618 votes in the Mr. Bulldog USA competition, giving him approximately 20 percent of the vote. Approximately what percent of the remaining votes would he have needed to receive in order to win 30 percent of the total votes?

A. 10%
B. 12.5%
C. 15%
D. 17.5%
E. 20%
[Reveal] Spoiler: OA

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27 Jul 2016, 03:25
Bunuel wrote:
Chauncy, an English bulldog, received 1,618 votes in the Mr. Bulldog USA competition, giving him approximately 20 percent of the vote. Approximately what percent of the remaining votes would he have needed to receive in order to win 30 percent of the total votes?

A. 10%
B. 12.5%
C. 15%
D. 17.5%
E. 20%

Let X be total number of votes.

Given 1618 = 20/100(X) => X = 8090.

Now 30%(8090) = 2427.

Difference now is 2427-1618 = 809
809 is 10% of 8090. Then he needed 10% more votes to win 30% of total votes.

IMO option A is correct answer..

OA please...will correct if I missed anything...
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Posts: 1616
Location: India
Concentration: Strategy, General Management
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27 Jul 2016, 03:49
msk0657 wrote:
Bunuel wrote:
Chauncy, an English bulldog, received 1,618 votes in the Mr. Bulldog USA competition, giving him approximately 20 percent of the vote. Approximately what percent of the remaining votes would he have needed to receive in order to win 30 percent of the total votes?

A. 10%
B. 12.5%
C. 15%
D. 17.5%
E. 20%

Let X be total number of votes.

Given 1618 = 20/100(X) => X = 8090.

Now 30%(8090) = 2427.

Difference now is 2427-1618 = 809
809 is 10% of 8090. Then he needed 10% more votes to win 30% of total votes.

IMO option A is correct answer..

OA please...will correct if I missed anything...

Hi,

Question asks the percentage of remaining votes: 809/(8090 - 1618) = 809/6472 = 1/8 = 12.5%

Intern
Joined: 27 Jul 2016
Posts: 8
Location: India
Schools: Krannert '20
GMAT 1: 700 Q59 V34
GPA: 3.15

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27 Jul 2016, 04:04
1
KUDOS
Let T= Total
He got 20T/100
He need 30T/100. i.e. 10T/100 more.

Question is 10T/100 is ? % of remaining Votes
10T/100= (?/100) of 80T/100.
?=12.5%
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27 Jul 2016, 04:54
msk0657 wrote:
Bunuel wrote:
Chauncy, an English bulldog, received 1,618 votes in the Mr. Bulldog USA competition, giving him approximately 20 percent of the vote. Approximately what percent of the remaining votes would he have needed to receive in order to win 30 percent of the total votes?

A. 10%
B. 12.5%
C. 15%
D. 17.5%
E. 20%

Let X be total number of votes.

Given 1618 = 20/100(X) => X = 8090.

Now 30%(8090) = 2427.

Difference now is 2427-1618 = 809
809 is 10% of 8090. Then he needed 10% more votes to win 30% of total votes.

IMO option A is correct answer..

OA please...will correct if I missed anything...

You have taken 10% of 8090, while the questions asks 809 is what % of the remaining votes. Hence B should be the correct answer as

809/6472*100 ~ 12.5%
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27 Jul 2016, 05:23
"what percent of the remaining votes" - GMAT does trick its test taker...
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Joined: 18 Oct 2014
Posts: 886
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GMAT 1: 660 Q49 V31
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27 Jul 2016, 11:12
Bunuel wrote:
Chauncy, an English bulldog, received 1,618 votes in the Mr. Bulldog USA competition, giving him approximately 20 percent of the vote. Approximately what percent of the remaining votes would he have needed to receive in order to win 30 percent of the total votes?

A. 10%
B. 12.5%
C. 15%
D. 17.5%
E. 20%

To make total 30%, he needs 10% more votes of the total.

Let's suppose total is 100 and he needs 10% of 100= 10

But since the remaining votes are 80, 10 is 100*10/80%= 12.5%

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Joined: 07 Jul 2016
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27 Jul 2016, 12:06
Bunuel wrote:
Chauncy, an English bulldog, received 1,618 votes in the Mr. Bulldog USA competition, giving him approximately 20 percent of the vote. Approximately what percent of the remaining votes would he have needed to receive in order to win 30 percent of the total votes

Knowing the number of votes is not necessary.

$$\text{Remaining vote }= 100\% - 20\% = 80\%$$
$$\text{Additional votes needed }= 30\% - 20\% = 10\%$$
$$80\% \times n = 10\%$$
$$n = \frac{10\%}{80\%} \\= \frac{1}{8} = 0.125 = 12.5\%$$

[Reveal] Spoiler:
B. 12.5%

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10 Apr 2018, 17:19
Bunuel wrote:
Chauncy, an English bulldog, received 1,618 votes in the Mr. Bulldog USA competition, giving him approximately 20 percent of the vote. Approximately what percent of the remaining votes would he have needed to receive in order to win 30 percent of the total votes?

A. 10%
B. 12.5%
C. 15%
D. 17.5%
E. 20%

If Chauncy has already won approximately 20 percent of the votes, then he would need 10 more percent of the votes to win 30 percent of the total votes. However, here we are speaking in terms of the remaining votes, i.e., the remaining 80 percent of the votes.

Since 10/80 = 1/8 = 12.5%, then he needs 12.5% of the remaining 80 percent of the votes in order to get the 10 more percent of the total votes, i.e., a total of 30 percent of all the votes.

Alternate Solution:

Assume 100 people are voting. Chauncy has already won 20%, or 20, of the votes, which means that 80 votes remain. Chauncy needs 10 more votes out of those 80 remaining votes, so he needs 10/80 = 1/8, or about 12.5% of the remaining votes.

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Re: Chauncy, an English bulldog, received 1,618 votes in the Mr. Bulldog   [#permalink] 10 Apr 2018, 17:19
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