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

It is currently 18 Oct 2019, 12:20

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

There are x number of apples in a bin. Susan takes 40 percent of the a

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58453
There are x number of apples in a bin. Susan takes 40 percent of the a  [#permalink]

Show Tags

New post 11 Jan 2018, 21:52
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

60% (01:54) correct 40% (01:42) wrong based on 38 sessions

HideShow timer Statistics

Senior SC Moderator
avatar
V
Joined: 22 May 2016
Posts: 3554
There are x number of apples in a bin. Susan takes 40 percent of the a  [#permalink]

Show Tags

New post 12 Jan 2018, 10:33
Bunuel wrote:
There are x number of apples in a bin. Susan takes 40 percent of the apples out of the bin. Later, she returns some apples so that she now has only 10 percent of the apples. There are now 27 apples left in the bin. How many apples does Susan have?

A. 3
B. 4
C. 9
D. 12
E. 30

If you catch the logic at the end, the first part of this question, where Susan takes 40 percent of the apples and puts some back, is irrelevant as far as computing goes. We are given the result of what would be that computation.

We do not have a counting number for 40 percent.
We have no idea how many apples she took or left or put back.

We know that at the end, after taking and returning some, she has 10 percent of the apples originally in the bin.
That means the other 90 percent of the original apples are: in the bin.
And at the end, there are 27 apples in the bin.

Let \(A\) = original # of apples in the bin
\(27 = .90A\)
\(A = \frac{27}{(\frac{9}{10})}=(27*\frac{10}{9})= 30\)

Susan has 10 percent of the original apples:
(.10)(30) = 3 apples

Answer A
_________________
SC Butler has resumed! Get two SC questions to practice, whose links you can find by date, here.


Instructions for living a life. Pay attention. Be astonished. Tell about it. -- Mary Oliver
Senior PS Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3333
Location: India
GPA: 3.12
Re: There are x number of apples in a bin. Susan takes 40 percent of the a  [#permalink]

Show Tags

New post 12 Jan 2018, 13:33
Bunuel wrote:
There are x number of apples in a bin. Susan takes 40 percent of the apples out of the bin. Later, she returns some apples so that she now has only 10 percent of the apples. There are now 27 apples left in the bin. How many apples does Susan have?

A. 3
B. 4
C. 9
D. 12
E. 30


Susan takes 40% of the apples from the bin. Hence, the bin which first had x apples
will not have 0.6x of the apples.

After sometime, she returns some apples such that she has only 10% of the apples.
As she would have returned 0.3x of the apples, the bin has 0.6x+0.3x = 0.9x of the
apples, which is 27. Hence, the total number of apples will be \(x = \frac{27}{0.9} = 30\)

Therefore, the number of apples that Susan has will be 0.1x or 3(Option A)

_________________
You've got what it takes, but it will take everything you've got
GMAT Club Bot
Re: There are x number of apples in a bin. Susan takes 40 percent of the a   [#permalink] 12 Jan 2018, 13:33
Display posts from previous: Sort by

There are x number of apples in a bin. Susan takes 40 percent of the a

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne