Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 17 Mar 2014
Posts: 70

A spirit and water solution is sold in a market. The cost pe [#permalink]
Show Tags
17 Mar 2014, 23:01
7
This post received KUDOS
12
This post was BOOKMARKED
Question Stats:
35% (02:06) correct
65% (01:11) wrong based on 322 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
Official Answer and Stats are available only to registered users. Register/ Login.



Moderator
Joined: 02 Jul 2012
Posts: 1223
Location: India
Concentration: Strategy
GPA: 3.8
WE: Engineering (Energy and Utilities)

Re: A spirit and water solution is sold in a market. The cost pe [#permalink]
Show Tags
17 Mar 2014, 23:36
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



Manager
Joined: 17 Mar 2014
Posts: 70

Re: A spirit and water solution is sold in a market. The cost pe [#permalink]
Show Tags
18 Mar 2014, 00:17
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 ?



SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1857
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
18 Mar 2014, 00:19
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



Moderator
Joined: 02 Jul 2012
Posts: 1223
Location: India
Concentration: Strategy
GPA: 3.8
WE: Engineering (Energy and Utilities)

Re: A spirit and water solution is sold in a market. The cost pe [#permalink]
Show Tags
18 Mar 2014, 00:21
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



Intern
Joined: 23 Jan 2013
Posts: 5
Concentration: Marketing, Organizational Behavior
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
18 Mar 2014, 23:22
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 restated 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.



Current Student
Status: Everyone is a leader. Just stop listening to others.
Joined: 22 Mar 2013
Posts: 962
Location: India
GPA: 3.51
WE: Information Technology (Computer Software)

Re: A spirit and water solution is sold in a market. The cost pe [#permalink]
Show Tags
02 Apr 2014, 13:06
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... 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".



Math Expert
Joined: 02 Sep 2009
Posts: 39588

Re: A spirit and water solution is sold in a market. The cost pe [#permalink]
Show Tags
03 Apr 2014, 02:34
2
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... 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: 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? Extrahard Quant Tests with Brilliant Analytics



Current Student
Status: Everyone is a leader. Just stop listening to others.
Joined: 22 Mar 2013
Posts: 962
Location: India
GPA: 3.51
WE: Information Technology (Computer Software)

Re: A spirit and water solution is sold in a market. The cost pe [#permalink]
Show Tags
03 Apr 2014, 04:09
Thanks Bunuel, I got it now.. I think I was sleeping while reading this question
_________________
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".



Director
Joined: 03 Aug 2012
Posts: 893
Concentration: General Management, General Management
GMAT 1: 630 Q47 V29 GMAT 2: 680 Q50 V32
GPA: 3.7
WE: Information Technology (Investment Banking)

Re: A spirit and water solution is sold in a market. The cost pe [#permalink]
Show Tags
19 Apr 2014, 03:30
2
This post received KUDOS
1
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 _____________________________________________________________________________



Senior Manager
Joined: 28 Feb 2014
Posts: 295
Location: United States
Concentration: Strategy, General Management

Re: A spirit and water solution is sold in a market. The cost pe [#permalink]
Show Tags
26 Jan 2015, 21:26
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



Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 7438
Location: Pune, India

Re: A spirit and water solution is sold in a market. The cost pe [#permalink]
Show Tags
26 Jan 2015, 21:57
1
This post received KUDOS
Expert's post
2
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



GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15913

Re: A spirit and water solution is sold in a market. The cost pe [#permalink]
Show Tags
28 Jun 2016, 00:41
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



Director
Joined: 07 Dec 2014
Posts: 706

Re: A spirit and water solution is sold in a market. The cost pe [#permalink]
Show Tags
01 Jul 2016, 15:28
let x=cost of 3 liters of 1:2 solution 50/(2*1/2)=x/(3*1/3) x=50¢




Re: A spirit and water solution is sold in a market. The cost pe
[#permalink]
01 Jul 2016, 15:28







