Last visit was: 24 Apr 2026, 13:47 It is currently 24 Apr 2026, 13:47
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
User avatar
gaurav05nov
Joined: 19 Dec 2009
Last visit: 29 Jan 2010
Posts: 17
Own Kudos:
107
 [102]
Given Kudos: 18
Location: India
Posts: 17
Kudos: 107
 [102]
13
Kudos
Add Kudos
89
Bookmarks
Bookmark this Post
Most Helpful Reply
User avatar
rohansharma
Joined: 07 Feb 2011
Last visit: 16 Apr 2013
Posts: 7
Own Kudos:
29
 [24]
Given Kudos: 26
Status:Focus is the Key
Concentration: Strategy, Technology
Schools: ISB
GMAT 1: 710 Q49 V38
GPA: 3.35
WE:Consulting (Telecommunications)
Schools: ISB
GMAT 1: 710 Q49 V38
Posts: 7
Kudos: 29
 [24]
14
Kudos
Add Kudos
10
Bookmarks
Bookmark this Post
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 24 Apr 2026
Posts: 109,818
Own Kudos:
Given Kudos: 105,873
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,818
Kudos: 811,064
 [21]
8
Kudos
Add Kudos
13
Bookmarks
Bookmark this Post
General Discussion
avatar
thanks
Joined: 26 Oct 2009
Last visit: 29 Nov 2011
Posts: 9
Own Kudos:
483
 [5]
Posts: 9
Kudos: 483
 [5]
4
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
Not sure if this is the method you're looking for but:

Verm Gin
40% 0%

25%

25 15

Which reduces to 5:3
User avatar
petrifiedbutstanding
Joined: 19 Oct 2010
Last visit: 10 Jul 2019
Posts: 107
Own Kudos:
Given Kudos: 27
Location: India
GMAT 1: 560 Q36 V31
GPA: 3
GMAT 1: 560 Q36 V31
Posts: 107
Kudos: 354
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
gaurav05nov
Guys, please help me out. I want to know how to solve this question using the Allegation method.
I know the other way(using equations) but I need to understand the Allegation method.

Rodrick mixes a martini that has a volume of 'n' ounces having 40% Vermouth and 60% Gin by volume.
He wants to change it so that the martini is 25% Vermouth by volume. How many ounces of Gin must
he add?

A) n/6
B) n/3
C) 3n/5
D) 5n/6
E) 8n/5

Spoiler :

Note that after we add pure Gin, the volume of Vermouth will remain the same. Based on this set the equation:

0.4n=0.25(n+g) --> g=3n/5

Answer: C.


Fluke/Bunuel, can you please explain this to me? I don't understand the equation 0.4n=0.25(n+g).
User avatar
jamifahad
Joined: 03 Mar 2010
Last visit: 14 Mar 2015
Posts: 256
Own Kudos:
1,735
 [16]
Given Kudos: 22
Posts: 256
Kudos: 1,735
 [16]
10
Kudos
Add Kudos
5
Bookmarks
Bookmark this Post
petrifiedbutstanding
Fluke/Bunuel, can you please explain this to me? I don't understand the equation 0.4n=0.25(n+g).
I will try.
Volume of martini given = n
Volume of vermouth in martini = 40% of n = 0.4n


Let "g" be the volume of gin we add.
New Volume of martini = n+g
Also, we did not add any vermouth.
New Volume of vermouth = 0.4n (still same as old)

New volume of vermouth= 25 % New martini (n+g)

0.4n=0.25(n+g)
n=3n/5

Pick number and see. It will be clear.
User avatar
Spidy001
Joined: 01 Feb 2011
Last visit: 16 Feb 2015
Posts: 298
Own Kudos:
355
 [5]
Given Kudos: 42
Posts: 298
Kudos: 355
 [5]
4
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
total V G
1 ounce 0.4 0.6

n ounce 0.4n 0.6n -------------initial expression

lets say g ounces of gin is added to this mixture

n+g 0.4n 0.6n+g --------------final expression

given that after adding g ounces of gin , V should become 25% of the total volume.

=>Volume of V/total volume = 25/100

=> 0.4n /n+g = 1/4

=> 1.6n = n+g

=> g = 3n/5

Answer is C.


petrifiedbutstanding
Bunuel
gaurav05nov
Guys, please help me out. I want to know how to solve this question using the Allegation method.
I know the other way(using equations) but I need to understand the Allegation method.

Rodrick mixes a martini that has a volume of 'n' ounces having 40% Vermouth and 60% Gin by volume.
He wants to change it so that the martini is 25% Vermouth by volume. How many ounces of Gin must
he add?

A) n/6
B) n/3
C) 3n/5
D) 5n/6
E) 8n/5

Spoiler :

Note that after we add pure Gin, the volume of Vermouth will remain the same. Based on this set the equation:

0.4n=0.25(n+g) --> g=3n/5

Answer: C.


Fluke/Bunuel, can you please explain this to me? I don't understand the equation 0.4n=0.25(n+g).
User avatar
KarishmaB
Joined: 16 Oct 2010
Last visit: 23 Apr 2026
Posts: 16,442
Own Kudos:
79,404
 [5]
Given Kudos: 485
Location: Pune, India
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 16,442
Kudos: 79,404
 [5]
2
Kudos
Add Kudos
3
Bookmarks
Bookmark this Post
gaurav05nov
Guys, please help me out. I want to know how to solve this question using the Allegation method.
I know the other way(using equations) but I need to understand the Allegation method.

Rodrick mixes a martini that has a volume of 'n' ounces having 40% Vermouth and 60% Gin by volume.
He wants to change it so that the martini is 25% Vermouth by volume. How many ounces of Gin must
he add?

A) n/6
B) n/3
C) 3n/5
D) 5n/6
E) 8n/5

Spoiler :

He wants to mix a martini of 60% Gin with a liquid that is 100% Gin to give a mixture with 75% Gin (because 25% is Vermouth)
Using the weighted averages formula, we get,
w1/w2 = (100 - 75)/(75 - 60) = 5:3
Martini:Pure Gin must be added in the ratio 5:3. So if martini is n, pure gin must be (3/5)n
User avatar
MBAhereIcome
User avatar
Current Student
Joined: 07 Aug 2011
Last visit: 25 Feb 2016
Posts: 149
Own Kudos:
2,127
 [8]
Given Kudos: 48
Status:mba here i come!
Posts: 149
Kudos: 2,127
 [8]
4
Kudos
Add Kudos
4
Bookmarks
Bookmark this Post
mixture already has 60% gin, and we need 75%.

\(\frac{0.6n + x}{n + x} = 0.75\)

\(x = \frac{3}{5}n\)
User avatar
shameekv
Joined: 29 Aug 2013
Last visit: 11 Aug 2020
Posts: 50
Own Kudos:
186
 [2]
Given Kudos: 26
Location: United States
Concentration: Finance, International Business
GMAT 1: 590 Q41 V29
GMAT 2: 540 Q44 V20
GPA: 3.5
WE:Programming (Computer Software)
GMAT 2: 540 Q44 V20
Posts: 50
Kudos: 186
 [2]
1
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
gaurav05nov
Rodrick mixes a martini that has a volume of 'n' ounces having 40% Vermouth and 60% Gin by volume. He wants to change it so that the martini is 25% Vermouth by volume. How many ounces of Gin must he add?

A) n/6
B) n/3
C) 3n/5
D) 5n/6
E) 8n/5

Initially Martini = V : G = 4 : 6 = 2 : 3
Ratio required is = 25 : 75 = 1 : 3
Since V is same hence ratio should be 2 : 6
Hence 3 parts of gin should be added to the initial mixture i.e. same as what was in the initial mixture i.e. 60n/100 = 3n/5

The mixture related problems if dealt with ratios becomes much easier..
User avatar
jlgdr
Joined: 06 Sep 2013
Last visit: 24 Jul 2015
Posts: 1,302
Own Kudos:
2,977
 [3]
Given Kudos: 355
Concentration: Finance
Posts: 1,302
Kudos: 2,977
 [3]
3
Kudos
Add Kudos
Bookmarks
Bookmark this Post
gaurav05nov
Rodrick mixes a martini that has a volume of 'n' ounces having 40% Vermouth and 60% Gin by volume. He wants to change it so that the martini is 25% Vermouth by volume. How many ounces of Gin must he add?

A) n/6
B) n/3
C) 3n/5
D) 5n/6
E) 8n/5

Way I did it

Smart Numbers

n=100

So we'll have 60+x/100+x=3/4
x=60

So 60/100 = 3/5n

Answer is C

Hope it helps!
Cheers!
J :)
User avatar
thorinoakenshield
Joined: 03 Jan 2015
Last visit: 28 Mar 2015
Posts: 50
Own Kudos:
120
 [2]
Given Kudos: 223
Concentration: Strategy, Marketing
WE:Research (Pharmaceuticals and Biotech)
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
PROBLEM:
Rodrick mixes a martini that has a volume of 'n' ounces having 40% Vermouth and 60% Gin by volume. He wants to change it so that the martini is 25% Vermouth by volume. How many ounces of Gin must he add?

A) n/6
B) n/3
C) 3n/5
D) 5n/6
E) 8n/5


SOLUTION:

A quick way to calculate without any algebra is:

(Old - New)/(New)
i.e. (40-25)/(25) = 3/5
i.e. Martini should be diluted 3/5 times

ANSWER: C
User avatar
MK1480
Joined: 04 Sep 2015
Last visit: 12 Sep 2016
Posts: 29
Own Kudos:
Given Kudos: 14
Location: Germany
Concentration: Operations, Finance
WE:Project Management (Aerospace and Defense)
Posts: 29
Kudos: 26
Kudos
Add Kudos
Bookmarks
Bookmark this Post
HI Karishma

Is this approach also right (from one of your posts)?

Volume (initial) x concentration (initial) = Volume (final) x Concentration (final)
Since, the volume of Vermouth remains same (not Gin), this should be applied to Vermouth
Therefore, n x 40% = Volume (final) x 25%
Volume (final) = 8n/5

So, solution added = (8n/5) - n ==> 3n /5





VeritasPrepKarishma
gaurav05nov
Guys, please help me out. I want to know how to solve this question using the Allegation method.
I know the other way(using equations) but I need to understand the Allegation method.

Rodrick mixes a martini that has a volume of 'n' ounces having 40% Vermouth and 60% Gin by volume.
He wants to change it so that the martini is 25% Vermouth by volume. How many ounces of Gin must
he add?

A) n/6
B) n/3
C) 3n/5
D) 5n/6
E) 8n/5

Spoiler :

He wants to mix a martini of 60% Gin with a liquid that is 100% Gin to give a mixture with 75% Gin (because 25% is Vermouth)
Using the mixtures formula discussed here (https://www.gmatclub.com/forum/veritas-prep-resource-links-no-longer-available-399979.html#/2011/03 ... -averages/),
we get,
w1/w2 = (100 - 75)/(75 - 60) = 5:3
Martini:Pure Gin must be added in the ratio 5:3. So if martini is n, pure gin must be (3/5)n

A very similar question is discussed in the 'Responses' of this post (at the bottom): https://www.gmatclub.com/forum/veritas-prep-resource-links-no-longer-available-399979.html#/2011/04 ... -mixtures/
User avatar
KarishmaB
Joined: 16 Oct 2010
Last visit: 23 Apr 2026
Posts: 16,442
Own Kudos:
79,404
 [2]
Given Kudos: 485
Location: Pune, India
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 16,442
Kudos: 79,404
 [2]
1
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
madhusudhan237
HI Karishma

Is this approach also right (from one of your posts)?

Volume (initial) x concentration (initial) = Volume (final) x Concentration (final)
Since, the volume of Vermouth remains same (not Gin), this should be applied to Vermouth
Therefore, n x 40% = Volume (final) x 25%
Volume (final) = 8n/5

So, solution added = (8n/5) - n ==> 3n /5

Yes, correct.
Since amount of Vermouth stays the same in the two cases, Volume of solution*Concentration of Vermouth should be equal in the two cases.
User avatar
emont
Joined: 02 Sep 2024
Last visit: 28 Jan 2025
Posts: 17
Own Kudos:
Given Kudos: 13
Posts: 17
Kudos: 3
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel are there more questions like this please
gaurav05nov
Rodrick mixes a martini that has a volume of 'n' ounces having 40% Vermouth and 60% Gin by volume. He wants to change it so that the martini is 25% Vermouth by volume. How many ounces of Gin must he add?

A) n/6
B) n/3
C) 3n/5
D) 5n/6
E) 8n/5
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 24 Apr 2026
Posts: 109,818
Own Kudos:
811,064
 [1]
Given Kudos: 105,873
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,818
Kudos: 811,064
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
emont
Bunuel are there more questions like this please
gaurav05nov
Rodrick mixes a martini that has a volume of 'n' ounces having 40% Vermouth and 60% Gin by volume. He wants to change it so that the martini is 25% Vermouth by volume. How many ounces of Gin must he add?

A) n/6
B) n/3
C) 3n/5
D) 5n/6
E) 8n/5

18. Mixture Problems



For more check Ultimate GMAT Quantitative Megathread

User avatar
georgia123
Joined: 03 Jul 2024
Last visit: 20 May 2025
Posts: 3
Given Kudos: 21
GPA: 3.83
WE:Sales (Media/Entertainment)
Posts: 3
Kudos: 0
Kudos
Add Kudos
Bookmarks
Bookmark this Post
is anyone able to show me this method using teeter totter for weighted averages?
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,974
Own Kudos:
Posts: 38,974
Kudos: 1,117
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Math Expert
109818 posts
Tuck School Moderator
853 posts