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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 350,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

A spirit and water solution is sold in a market. The cost pe [#permalink]
17 Mar 2014, 22:01

4

This post received KUDOS

4

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

95% (hard)

Question Stats:

34% (02:08) correct
66% (01:14) wrong based on 201 sessions

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?

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

Re: A spirit and water solution is sold in a market. The cost pe [#permalink]
18 Mar 2014, 22:22

1

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.

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

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".

Re: A spirit and water solution is sold in a market. The cost pe [#permalink]
03 Apr 2014, 01:34

Expert's post

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.

Re: A spirit and water solution is sold in a market. The cost pe [#permalink]
03 Apr 2014, 03:09

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".

Re: A spirit and water solution is sold in a market. The cost pe [#permalink]
19 Apr 2014, 02:30

1

This post received KUDOS

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 _____________________________________________________________________________

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

Re: A spirit and water solution is sold in a market. The cost pe [#permalink]
26 Jan 2015, 20:57

Expert's post

1

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 _________________

safe.txmblr Can business make a difference in the great problems that we face? My own view is nuanced. I think business potentially has a significant role to play...

safe.txmblr Rebecca Henderson on the viability of the purpose-driven firm: We don’t want business people making policy...but on the other hand, what can business people do to...