GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 17 Jun 2018, 21:10

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# M00-04

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 46047

### Show Tags

16 Sep 2014, 00:14
1
00:00

Difficulty:

15% (low)

Question Stats:

95% (00:36) correct 5% (02:35) wrong based on 44 sessions

### HideShow timer Statistics

60 percent of the people surveyed said that they would vote for Stewart. Of those who said they would vote for Stewart, 90 percent actually voted for him, and of those who did not say that they would vote for Stewart, 5 percent actually voted for him. What percent of the group surveyed voted for Stewart?

A. 30%
B. 40%
C. 50%
D. 56%
E. 64%

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 46047

### Show Tags

16 Sep 2014, 00:14
Official Solution:

60 percent of the people surveyed said that they would vote for Stewart. Of those who said they would vote for Stewart, 90 percent actually voted for him, and of those who did not say that they would vote for Stewart, 5 percent actually voted for him. What percent of the group surveyed voted for Stewart?

A. 30%
B. 40%
C. 50%
D. 56%
E. 64%

Let $$X$$ be the total number of polled people.
• $$0.6X$$ -- say that they will vote for Stewart
• $$0.9*0.6X=0.54$$ -- actually voted
• $$0.4X$$ -- will not vote for Stewart
• $$0.05*0.4X=0.02X$$ -- nevertheless, voted for him

So, $$0.54X+0.02X=0.56X$$ or 56%

_________________
Intern
Joined: 19 Jan 2017
Posts: 3

### Show Tags

17 Feb 2017, 22:31
Let X, total # of people=100.. simplest way if you want to avoid the decimals with variable x
Intern
Joined: 19 Apr 2017
Posts: 1

### Show Tags

19 Apr 2017, 06:47
yeah right so much easier with real numbers.
Although x is 100 :D
M00-04   [#permalink] 19 Apr 2017, 06:47
Display posts from previous: Sort by

# M00-04

Moderators: chetan2u, Bunuel

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.