It is currently 21 Apr 2018, 12:03

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

8 liters of solution is removed from 20% milk solution and 8 liters of

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

Hide Tags

1 KUDOS received
Intern
Intern
avatar
Joined: 29 Jul 2016
Posts: 5
GMAT ToolKit User
8 liters of solution is removed from 20% milk solution and 8 liters of [#permalink]

Show Tags

New post Updated on: 12 Oct 2016, 01:31
1
This post received
KUDOS
4
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

100% (00:00) correct 0% (00:00) wrong based on 3 sessions

HideShow timer Statistics

8 liters of solution is removed from 20% milk solution and 8 liters of water is added to the solution. The resulting solution has 16% milk in it. What was the initial quantity of the 20% milk solution?

Originally posted by RidhimaNigam on 12 Oct 2016, 01:14.
Last edited by Bunuel on 12 Oct 2016, 01:31, edited 1 time in total.
Renamed the topic.
BSchool Forum Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 2431
Location: India
GPA: 3.12
Premium Member CAT Tests
Re: 8 liters of solution is removed from 20% milk solution and 8 liters of [#permalink]

Show Tags

New post Updated on: 13 Oct 2016, 20:56
Corrected solution(apologies for posting wrong solution previously)

Change in concentration of milk is 4%(down from 20% to 16%)
This change is concentration happens when 8 liters of the solution is replaced(with pure water)
If we consider x to be total volume of the solution.
From the given information, we can frame equation

20/100(x-8) = 16/100(x)
5(x-8) = 4x or x=40
_________________

Stay hungry, Stay foolish

2017-2018 MBA Deadlines

Class of 2020: Rotman Thread | Schulich Thread
Class of 2019: Sauder Thread


Originally posted by pushpitkc on 12 Oct 2016, 02:05.
Last edited by pushpitkc on 13 Oct 2016, 20:56, edited 1 time in total.
Manager
Manager
avatar
Joined: 29 Aug 2008
Posts: 110
Re: 8 liters of solution is removed from 20% milk solution and 8 liters of [#permalink]

Show Tags

New post 12 Oct 2016, 02:37
Method 1:

Allegation method.

Concentration of Alcohol in original sol - 20%

Concentration of Alcohol in water -- 0%

Concentration of Alcohol in final sol -- 16%

After applying allegation as shown in figure they have to be mixed in 4:1 part

1 part is given as 8 ltr, so total initial volume is 5 part = 5*8 = 40 Ltrs



Method 2:

Using Algebra

Concentration of Alcohol in original sol - 20%

Volume of alcohol - .2*X (Say the initial volume is X ltrs)

When we remove 8 ltrs from this liquid - .2*8 alcohol also gets removed.

Final concentration of alcohol sol is given as 16%

Alcohol %age in final solution = (.2*x - .2*8)/x = .16

Solving for X, we get X = 40

HTH
Attachments

File comment: Method 1
227107.jpg
227107.jpg [ 16.04 KiB | Viewed 875 times ]

Director
Director
User avatar
P
Joined: 05 Mar 2015
Posts: 957
Re: 8 liters of solution is removed from 20% milk solution and 8 liters of [#permalink]

Show Tags

New post 12 Oct 2016, 11:45
RidhimaNigam wrote:
8 liters of solution is removed from 20% milk solution and 8 liters of water is added to the solution. The resulting solution has 16% milk in it. What was the initial quantity of the 20% milk solution?

Let x be the initial volume

then , per question

20%(x-8)= 16% of x (as %ge of milk remains same irrespective of volume)
thus x= 40 lts..
Ans 40 lts. :)
Director
Director
avatar
G
Joined: 07 Dec 2014
Posts: 962
Re: 8 liters of solution is removed from 20% milk solution and 8 liters of [#permalink]

Show Tags

New post 12 Oct 2016, 15:14
8 liters of solution is removed from 20% milk solution and 8 liters of water is added to the solution.
The resulting solution has 16% milk in it. What was the initial quantity of the 20% milk solution?

let x=initial quantity
.2x-.2*8=.16x
x=40 liters
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 6640
Premium Member
Re: 8 liters of solution is removed from 20% milk solution and 8 liters of [#permalink]

Show Tags

New post 08 Apr 2018, 05:17
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Re: 8 liters of solution is removed from 20% milk solution and 8 liters of   [#permalink] 08 Apr 2018, 05:17
Display posts from previous: Sort by

8 liters of solution is removed from 20% milk solution and 8 liters of

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


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

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®.