It is currently 13 Dec 2017, 06:39

Decision(s) Day!:

CHAT Rooms | Ross R1 | Kellogg R1 | Darden R1 | Tepper R1


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

A spirit and water solution is sold in a market. The cost pe

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

Hide Tags

7 KUDOS received
Manager
Manager
avatar
Joined: 17 Mar 2014
Posts: 70

Kudos [?]: 80 [7], given: 38

A spirit and water solution is sold in a market. The cost pe [#permalink]

Show Tags

New post 17 Mar 2014, 22:01
7
This post received
KUDOS
29
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

33% (01:09) correct 67% (01:10) wrong based on 538 sessions

HideShow timer Statistics

A spirit and water solution is sold in a market. The cost per liter of the solution is directly proportional to the part (fraction) of spirit (by volume) the solution has. A solution of 1 liter of spirit and 1 liter of water costs 50 cents. How many cents does a solution of 1 liter of spirit and 2 liters of water cost?

A. 13
B. 33
C. 50
D. 51
E. 52
[Reveal] Spoiler: OA

Kudos [?]: 80 [7], given: 38

3 KUDOS received
VP
VP
User avatar
Joined: 02 Jul 2012
Posts: 1214

Kudos [?]: 1719 [3], given: 116

Location: India
Concentration: Strategy
GMAT 1: 740 Q49 V42
GPA: 3.8
WE: Engineering (Energy and Utilities)
Premium Member
Re: A spirit and water solution is sold in a market. The cost pe [#permalink]

Show Tags

New post 17 Mar 2014, 22:36
3
This post received
KUDOS
1
This post was
BOOKMARKED
2 litres of 1/2 concentration spirit costs 50 cents = \(\frac{1}{2}\) dollars

2 litres of 1/3 concentration spirit will cost \(\frac{1}{3}\) dollars

3 litres of 1/3 concentration spirit will cost \(\frac{1}{3}*\frac{3}{2}\) dollars = \(\frac{1}{2}\) dollars = 50 cents

Answer is C
_________________

Did you find this post helpful?... Please let me know through the Kudos button.

Thanks To The Almighty - My GMAT Debrief

GMAT Reading Comprehension: 7 Most Common Passage Types

Kudos [?]: 1719 [3], given: 116

Manager
Manager
avatar
Joined: 17 Mar 2014
Posts: 70

Kudos [?]: 80 [0], given: 38

Re: A spirit and water solution is sold in a market. The cost pe [#permalink]

Show Tags

New post 17 Mar 2014, 23:17
MacFauz wrote:
2 litres of 1/2 concentration spirit costs 50 cents = \(\frac{1}{2}\) dollars

2 litres of 1/3 concentration spirit will cost \(\frac{1}{3}\) dollars

3 litres of 1/3 concentration spirit will cost \(\frac{1}{3}*\frac{3}{2}\) dollars = \(\frac{1}{2}\) dollars = 50 cents

Answer is C


Hi

how did you get 2 liters of 1/3 concentration of spirit will cost 1/3 dollars ?

Kudos [?]: 80 [0], given: 38

5 KUDOS received
SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1849

Kudos [?]: 2786 [5], given: 193

Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: A spirit and water solution is sold in a market. The cost pe [#permalink]

Show Tags

New post 17 Mar 2014, 23:19
5
This post received
KUDOS
The cost per liter of the solution is directly proportional to the part (fraction) of spirit (by volume) the solution has.

It means there is no effect of change in volume of water to the costing of the solution

So a solution of 1 liter of spirit and 2 liters of water will cost 50 cents

Answer = c = 50
_________________

Kindly press "+1 Kudos" to appreciate :)

Kudos [?]: 2786 [5], given: 193

1 KUDOS received
VP
VP
User avatar
Joined: 02 Jul 2012
Posts: 1214

Kudos [?]: 1719 [1], given: 116

Location: India
Concentration: Strategy
GMAT 1: 740 Q49 V42
GPA: 3.8
WE: Engineering (Energy and Utilities)
Premium Member
Re: A spirit and water solution is sold in a market. The cost pe [#permalink]

Show Tags

New post 17 Mar 2014, 23:21
1
This post received
KUDOS
It is given that the cost is directly proportional to the fraction of the spirit in volume.
50% spirit corresponds to 50 cents
So 33.33% spirit will correspond to 33.33 cents
qlx wrote:
MacFauz wrote:
2 litres of 1/2 concentration spirit costs 50 cents = \(\frac{1}{2}\) dollars

2 litres of 1/3 concentration spirit will cost \(\frac{1}{3}\) dollars

3 litres of 1/3 concentration spirit will cost \(\frac{1}{3}*\frac{3}{2}\) dollars = \(\frac{1}{2}\) dollars = 50 cents

Answer is C


Hi

how did you get 2 liters of 1/3 concentration of spirit will cost 1/3 dollars ?

_________________

Did you find this post helpful?... Please let me know through the Kudos button.

Thanks To The Almighty - My GMAT Debrief

GMAT Reading Comprehension: 7 Most Common Passage Types

Kudos [?]: 1719 [1], given: 116

2 KUDOS received
Intern
Intern
avatar
Joined: 23 Jan 2013
Posts: 5

Kudos [?]: 6 [2], given: 11

Concentration: Marketing, Organizational Behavior
GMAT 1: 600 Q44 V28
GPA: 3.9
WE: Information Technology (Computer Software)
Re: A spirit and water solution is sold in a market. The cost pe [#permalink]

Show Tags

New post 18 Mar 2014, 22:22
2
This post received
KUDOS
qlx wrote:
The cost per liter of the solution is directly proportional to the part (fraction) of spirit (by volume) the solution has


This statment can also be re-stated as "The Cost of 1 litre of Spririt is 50 Cents and water is free".

If the mixture is changed by adding another litre of water, still the amount of Spirit in the solution is unchanged and you have pay only for the spirit.

Hence the price is also unchanged, 50 Cents.

Kudos [?]: 6 [2], given: 11

Current Student
User avatar
Status: Everyone is a leader. Just stop listening to others.
Joined: 22 Mar 2013
Posts: 955

Kudos [?]: 1932 [0], given: 229

Location: India
GPA: 3.51
WE: Information Technology (Computer Software)
Premium Member Reviews Badge
Re: A spirit and water solution is sold in a market. The cost pe [#permalink]

Show Tags

New post 02 Apr 2014, 12:06
qlx wrote:
A spirit and water solution is sold in a market. The cost per liter of the solution is directly proportional to the part (fraction) of spirit (by volume) the solution has. A solution of 1 liter of spirit and 1 liter of water costs 50 cents. How many cents does a solution of 1 liter of spirit and 2 liters of water cost?

A. 13
B. 33
C. 50
D. 51
E. 52


I solved it as :

Cost = k (Part of spirit)

50cents = k (1/2) -------(1)
k=100

Now part (fraction of spirit in 3 Liters) 1/3

Cost=100(1/3) = 33.33 ----- (B)

I am not sure what is wrong with my understanding... :roll: :roll: :roll:

1L spirit + 1L water = 50% concentration
1L spirit + 2L water = 33.33% concentration

Logically price should be less for diluted liquid as in 1L solution spirit has reduced in parts per liter.
_________________

Piyush K
-----------------------
Our greatest weakness lies in giving up. The most certain way to succeed is to try just one more time. ― Thomas A. Edison
Don't forget to press--> Kudos :)
My Articles: 1. WOULD: when to use? | 2. All GMATPrep RCs (New)
Tip: Before exam a week earlier don't forget to exhaust all gmatprep problems specially for "sentence correction".

Kudos [?]: 1932 [0], given: 229

Expert Post
4 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 42581

Kudos [?]: 135486 [4], given: 12695

Re: A spirit and water solution is sold in a market. The cost pe [#permalink]

Show Tags

New post 03 Apr 2014, 01:34
4
This post received
KUDOS
Expert's post
1
This post was
BOOKMARKED
PiyushK wrote:
qlx wrote:
A spirit and water solution is sold in a market. The cost per liter of the solution is directly proportional to the part (fraction) of spirit (by volume) the solution has. A solution of 1 liter of spirit and 1 liter of water costs 50 cents. How many cents does a solution of 1 liter of spirit and 2 liters of water cost?

A. 13
B. 33
C. 50
D. 51
E. 52


I solved it as :

Cost = k (Part of spirit)

50cents = k (1/2) -------(1)
k=100

Now part (fraction of spirit in 3 Liters) 1/3

Cost=100(1/3) = 33.33 ----- (B)

I am not sure what is wrong with my understanding... :roll: :roll: :roll:

1L spirit + 1L water = 50% concentration
1L spirit + 2L water = 33.33% concentration

Logically price should be less for diluted liquid as in 1L solution spirit has reduced in parts per liter.


You missed the following part: The cost per liter of the solution is directly proportional to the part (fraction) of spirit (by volume) the solution has.

According to the above the cost of each liter of the solution = \(k*\frac{s}{s+w}\). So, s+w liters of the solution should cost \(k*\frac{s}{s+w}*(s+w)=ks\). So, we can see that the price of the solution is based only the amount of the spirit there (s), which means that both solutions must have the same price because both have 1 liter of spirit.

Answer: C.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Kudos [?]: 135486 [4], given: 12695

1 KUDOS received
Current Student
User avatar
Status: Everyone is a leader. Just stop listening to others.
Joined: 22 Mar 2013
Posts: 955

Kudos [?]: 1932 [1], given: 229

Location: India
GPA: 3.51
WE: Information Technology (Computer Software)
Premium Member Reviews Badge
Re: A spirit and water solution is sold in a market. The cost pe [#permalink]

Show Tags

New post 03 Apr 2014, 03:09
1
This post received
KUDOS
Thanks Bunuel, I got it now.. I think I was sleeping while reading this question :P
_________________

Piyush K
-----------------------
Our greatest weakness lies in giving up. The most certain way to succeed is to try just one more time. ― Thomas A. Edison
Don't forget to press--> Kudos :)
My Articles: 1. WOULD: when to use? | 2. All GMATPrep RCs (New)
Tip: Before exam a week earlier don't forget to exhaust all gmatprep problems specially for "sentence correction".

Kudos [?]: 1932 [1], given: 229

4 KUDOS received
Director
Director
avatar
Joined: 03 Aug 2012
Posts: 899

Kudos [?]: 931 [4], given: 322

Concentration: General Management, General Management
GMAT 1: 630 Q47 V29
GMAT 2: 680 Q50 V32
GPA: 3.7
WE: Information Technology (Investment Banking)
Premium Member
Re: A spirit and water solution is sold in a market. The cost pe [#permalink]

Show Tags

New post 19 Apr 2014, 02:30
4
This post received
KUDOS
2
This post was
BOOKMARKED
Another Approach, a more mathematical one:

Cost/Ltr @ Concentration

Consider a constant of proportionality as K.

So,

Cost/Ltr = K * Conc.

Scenario 1:

50/2 = K * 1/2 => K=50

Scenario 2:

C/3 = K * 1/3

=> C=K

=>C=50
_________________

Rgds,
TGC!
_____________________________________________________________________
I Assisted You => KUDOS Please
_____________________________________________________________________________

Kudos [?]: 931 [4], given: 322

Senior Manager
Senior Manager
User avatar
Joined: 28 Feb 2014
Posts: 295

Kudos [?]: 144 [0], given: 133

Location: United States
Concentration: Strategy, General Management
Reviews Badge
Re: A spirit and water solution is sold in a market. The cost pe [#permalink]

Show Tags

New post 26 Jan 2015, 20:26
qlx wrote:
A spirit and water solution is sold in a market. The cost per liter of the solution is directly proportional to the part (fraction) of spirit (by volume) the solution has. A solution of 1 liter of spirit and 1 liter of water costs 50 cents. How many cents does a solution of 1 liter of spirit and 2 liters of water cost?

A. 13
B. 33
C. 50
D. 51
E. 52



'Tis a tricky question. I had to reread it twice to notice it said "cost per liter of the solution is directly proportional to the part of spirit." That means the cost is still the same since there is 1 liter in both instances.

C. 50 cents

Kudos [?]: 144 [0], given: 133

Expert Post
1 KUDOS received
Veritas Prep GMAT Instructor
User avatar
G
Joined: 16 Oct 2010
Posts: 7792

Kudos [?]: 18111 [1], given: 236

Location: Pune, India
Re: A spirit and water solution is sold in a market. The cost pe [#permalink]

Show Tags

New post 26 Jan 2015, 20:57
1
This post received
KUDOS
Expert's post
4
This post was
BOOKMARKED
peachfuzz wrote:
qlx wrote:
A spirit and water solution is sold in a market. The cost per liter of the solution is directly proportional to the part (fraction) of spirit (by volume) the solution has. A solution of 1 liter of spirit and 1 liter of water costs 50 cents. How many cents does a solution of 1 liter of spirit and 2 liters of water cost?

A. 13
B. 33
C. 50
D. 51
E. 52



'Tis a tricky question. I had to reread it twice to notice it said "cost per liter of the solution is directly proportional to the part of spirit." That means the cost is still the same since there is 1 liter in both instances.

C. 50 cents


Yes, ensure that you understand the relation thoroughly!

Cost per liter = K * Fraction of Spirit

50 cents is the cost of 2 liters of solution (1 part water, 1 part spirit). So cost per liter is 25 cents. Fraction of spirit is 1/2.

25 = K * (1/2)
K = 50

Cost per liter = 50 * (1/3) (1 part spirit, 2 parts water)
Cost for 3 liters = 50 * (1/3) * 3 = 50 cents
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for $199

Veritas Prep Reviews

Kudos [?]: 18111 [1], given: 236

Director
Director
avatar
G
Joined: 07 Dec 2014
Posts: 859

Kudos [?]: 291 [0], given: 16

Re: A spirit and water solution is sold in a market. The cost pe [#permalink]

Show Tags

New post 01 Jul 2016, 14:28
let x=cost of 3 liters of 1:2 solution
50/(2*1/2)=x/(3*1/3)
x=50¢

Kudos [?]: 291 [0], given: 16

Expert Post
Target Test Prep Representative
User avatar
S
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 1797

Kudos [?]: 980 [0], given: 5

Re: A spirit and water solution is sold in a market. The cost pe [#permalink]

Show Tags

New post 12 Jul 2017, 15:24
Expert's post
1
This post was
BOOKMARKED
qlx wrote:
A spirit and water solution is sold in a market. The cost per liter of the solution is directly proportional to the part (fraction) of spirit (by volume) the solution has. A solution of 1 liter of spirit and 1 liter of water costs 50 cents. How many cents does a solution of 1 liter of spirit and 2 liters of water cost?

A. 13
B. 33
C. 50
D. 51
E. 52


When a solution has 1 liter of spirit and 1 liter of water, the solution has 2 liters of liquid with a spirit concentration of 1/2. Since the cost is 50 cents for 2 liters, the cost per liter is 25 cents. Now we can create an equation to find the proportional constant k:

(1/2) x k = 25

k = 50

Now we need to determine the cost of a solution that has 1 liter of spirit and 2 liters of water. We see that the solution has 3 liters of liquid with a spirit concentration of 1/3. Let’s first find the cost per liter, c:

(1/3) x k = c

(1/3) x 50 = c

50/3 = c

Since the cost per liter is 50/3 cents and there are 3 liters of solution, the cost of the solution is:

50/3 x 3 = 50 cents

Answer: C
_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Kudos [?]: 980 [0], given: 5

Intern
Intern
avatar
Joined: 17 Jul 2017
Posts: 1

Kudos [?]: 0 [0], given: 0

Re: A spirit and water solution is sold in a market. The cost pe [#permalink]

Show Tags

New post 18 Jul 2017, 22:07
2 L 50% sol costs=50 cents
1 L 50% sol costs=25 cents
1 L 33.33% sol costs=[25 x 33.33][/50] cents
3 L 33.33% sol costs=[25 x 33.33 x 3][/50] cents

3 L 33.33% sol costs=[25 x 100 x 3][/50 x 3] cents = 50 cents

Kudos [?]: 0 [0], given: 0

Manager
Manager
avatar
B
Joined: 03 May 2014
Posts: 167

Kudos [?]: 17 [0], given: 126

Location: India
WE: Sales (Mutual Funds and Brokerage)
A spirit and water solution is sold in a market. The cost pe [#permalink]

Show Tags

New post 15 Aug 2017, 23:22
Spirit and solution are sold in the market
Solution cost=amount of spirit in the solution ie anything else mixed has no effect on the price of the solution
First solution has 1 part spirit and 1 part water and price is=50 cents
As stated in 2nd line above the 50cent is the price of spirit.
1 part spirit and 2 part water will have price equal to the price of 1 part spirit which is 50 cents

Kudos [?]: 17 [0], given: 126

A spirit and water solution is sold in a market. The cost pe   [#permalink] 15 Aug 2017, 23:22
Display posts from previous: Sort by

A spirit and water solution is sold in a market. The cost pe

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


cron

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®.