On a certain day, orangeade was made by mixing a certain : GMAT Problem Solving (PS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 17 Jan 2017, 07:44

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# On a certain day, orangeade was made by mixing a certain

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

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 36536
Followers: 7071

Kudos [?]: 92984 [1] , given: 10541

On a certain day, orangeade was made by mixing a certain [#permalink]

### Show Tags

08 Oct 2012, 01:01
1
This post received
KUDOS
Expert's post
29
This post was
BOOKMARKED
00:00

Difficulty:

45% (medium)

Question Stats:

68% (02:50) correct 32% (02:21) wrong based on 1005 sessions

### HideShow timer Statistics

On a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. On both days, all the orangeade that was made was sold. If the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $0.60 per glass on the first day, what was the price per glass on the second day? (A)$015
(B) $0.20 (C)$0.30
(D) $0.40 (E)$0.45

Practice Questions
Question: 60
Page: 160
Difficulty: 650
[Reveal] Spoiler: OA

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 36536
Followers: 7071

Kudos [?]: 92984 [2] , given: 10541

Re: On a certain day, orangeade was made by mixing a certain [#permalink]

### Show Tags

08 Oct 2012, 01:02
2
This post received
KUDOS
Expert's post
11
This post was
BOOKMARKED
SOLUTION

On a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. On both days, all the orangeade that was made was sold. If the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $0.60 per glass on the first day, what was the price per glass on the second day? (A)$015
(B) $0.20 (C)$0.30
(D) $0.40 (E)$0.45

On the first day 1 unit of orange juice and 1 unit of water was used to make 2 units of orangeade;
On the second day 1 unit of orange juice and 2 units of water was used to make 3 units of orangeade;

So, the ratio of the amount of orangeade made on the first day to the amount of orangeade made on the second day is 2 to 3. Naturally the ratio of the # of glasses of orangeade made on the first day to the # of glasses of orangeade made on the second day is 2 to 3.

We are told that "the revenue from selling the orangeade was the same for both days" so the revenue from 2 glasses on the first day equals to the revenue from 3 glasses on the second day.

Say the price of the glass of the orangeade on the second day was $x then 2*0.6=3*x --> x=$0.4.

Answer: D.
_________________
Senior Manager
Joined: 15 Jun 2010
Posts: 368
Schools: IE'14, ISB'14, Kellogg'15
WE 1: 7 Yrs in Automobile (Commercial Vehicle industry)
Followers: 11

Kudos [?]: 368 [3] , given: 50

Re: On a certain day, orangeade was made by mixing a certain [#permalink]

### Show Tags

08 Oct 2012, 01:45
3
This post received
KUDOS
1
This post was
BOOKMARKED
Lets say on 1st day we can make 2 glasses of mixture with 1:1 ratio, There fore cost of 2 glasses of juice = 2 X .60
On the second day we will have 3 glasses of juice since we are mixing in a 1:2 ratio. Cost = 3 X P (P=cost per glass)

Since revenue is same we can equate both cost, ie 2X .60 = 3 X P => P = .40
Hence Answer D
_________________

Regards
SD
-----------------------------
Press Kudos if you like my post.
Debrief 610-540-580-710(Long Journey): http://gmatclub.com/forum/from-600-540-580-710-finally-achieved-in-4th-attempt-142456.html

Last edited by SOURH7WK on 08 Oct 2012, 02:33, edited 1 time in total.
Director
Joined: 24 Aug 2009
Posts: 506
Schools: Harvard, Columbia, Stern, Booth, LSB,
Followers: 17

Kudos [?]: 674 [13] , given: 276

Re: On a certain day, orangeade was made by mixing a certain [#permalink]

### Show Tags

08 Oct 2012, 02:07
13
This post received
KUDOS
2
This post was
BOOKMARKED
It is better to take smart numbers rather than getting confused in ratio's.
So lets say on Day1 = 10 liters was sold ( Orange :Water, 5:5 lt) [1 glass = 1liter]
So Revenue on Day1 = 10 * 0.6

Ratio on 2nd day ( Orange :Water, 5:10 lt) 15 lt = 15 glassess
Day1 revenue = Day2 revenue
10 * 0.6 = 15 *x
x = 0.4
Answer D
_________________

If you like my Question/Explanation or the contribution, Kindly appreciate by pressing KUDOS.
Kudos always maximizes GMATCLUB worth
-Game Theory

If you have any question regarding my post, kindly pm me or else I won't be able to reply

Manager
Joined: 29 Apr 2012
Posts: 104
Location: United States
Concentration: International Business, Real Estate
GMAT Date: 10-22-2012
Followers: 0

Kudos [?]: 55 [0], given: 47

Re: On a certain day, orangeade was made by mixing a certain [#permalink]

### Show Tags

08 Oct 2012, 02:10
fameatop wrote:
It is better to take smart numbers rather than getting confused in ratio's.
So lets say on Day1 = 10 liters was sold ( Orange :Water, 5:5 lt) [1 glass = 1liter]
So Revenue on Day1 = 10 * 0.6

Ratio on 2nd day ( Orange :Water, 5:10 lt) 15 lt = 15 glassess
Day1 revenue = Day2 revenue
10 * 0.6 = 15 *x
x = 0.4
Answer D

+1 D
nice explaination..!!
Moderator
Joined: 02 Jul 2012
Posts: 1231
Location: India
Concentration: Strategy
GMAT 1: 740 Q49 V42
GPA: 3.8
WE: Engineering (Energy and Utilities)
Followers: 115

Kudos [?]: 1385 [2] , given: 116

Re: On a certain day, orangeade was made by mixing a certain [#permalink]

### Show Tags

08 Oct 2012, 02:41
2
This post received
KUDOS
Lets say two glasses (one glass juice + one glass water) were sold on the first day at 0.6$per glass. Revenue on first day = 1.2$
So, revenue on second day = 1.2$Three glass (one glass juice + 2 glasses water) were sold on second day. So, price per glass = 1.2/3 = 0.40$
Answer is D
_________________

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

Senior Manager
Joined: 06 Aug 2011
Posts: 405
Followers: 2

Kudos [?]: 190 [1] , given: 82

Re: On a certain day, orangeade was made by mixing a certain [#permalink]

### Show Tags

08 Oct 2012, 08:58
1
This post received
KUDOS
What a big misktake i was actually doing ..i was just assuming ..that if its .60 on first day..then .30 will be on second because of addding twwice water..

after luking at above solution ..i change took D too :D

well

10 +10=20 *.60=12

10 is orange juice and 10 litre water...

10+20=30..

10 is orange...20 litter is water ...as mentioned twice the amount..

12=30*x

12/30=4/10=.40=D=ans=:)
_________________

Bole So Nehal.. Sat Siri Akal.. Waheguru ji help me to get 700+ score !

Director
Status: Done with formalities.. and back..
Joined: 15 Sep 2012
Posts: 647
Location: India
Concentration: Strategy, General Management
Schools: Olin - Wash U - Class of 2015
WE: Information Technology (Computer Software)
Followers: 46

Kudos [?]: 546 [1] , given: 23

Re: On a certain day, orangeade was made by mixing a certain [#permalink]

### Show Tags

09 Oct 2012, 22:48
1
This post received
KUDOS
Since solution by picking numbers is already given by many, hence to add to it the algebric solution is given below:

Assume volume of Orange and water added on first day is each V.
Hence total orangeade on day 1=V+V = 2V

On day 2, volume of water is doubled,
Hence total orangeade on day 2 = V + 2V = 3V

Assume, volume of 1 glass = G

For given question, if reveneue on Day 1 and Day 2 are same that would mean:

2 V * P1/ G = 3V *P2/G,
where P1 and P2 are price per glass on Day1 and Day2 respectively.

=> P2 = 2/3 *P1
We have P1 = 0.60 hence, P2 = 2/3*0.60 = 0.40

Ans D

Bunuel wrote:
The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

On a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. On both days, all the orangeade that was made was sold. If the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $0.60 per glass on the first day, what was the price per glass on the second day? (A)$015
(B) $0.20 (C)$0.30
(D) $0.40 (E)$0.45

Practice Questions
Question: 60
Page: 160
Difficulty: 600

GMAT Club is introducing a new project: The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide for GMAT® Review, 13th Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
1. Please provide your solutions to the questions;
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!

_________________

Lets Kudos!!!
Black Friday Debrief

Manager
Status: exam is close ... dont know if i ll hit that number
Joined: 06 Jun 2011
Posts: 206
Location: India
Concentration: International Business, Marketing
GMAT Date: 10-09-2012
GPA: 3.2
Followers: 2

Kudos [?]: 22 [0], given: 1

Re: On a certain day, orangeade was made by mixing a certain [#permalink]

### Show Tags

10 Oct 2012, 18:34
reached D by methodof substitution..
aftern a basic algebra..
_________________

just one more month for exam...

Math Expert
Joined: 02 Sep 2009
Posts: 36536
Followers: 7071

Kudos [?]: 92984 [0], given: 10541

Re: On a certain day, orangeade was made by mixing a certain [#permalink]

### Show Tags

11 Oct 2012, 12:42
SOLUTION

On a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. On both days, all the orangeade that was made was sold. If the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $0.60 per glass on the first day, what was the price per glass on the second day? (A)$015
(B) $0.20 (C)$0.30
(D) $0.40 (E)$0.45

On the first day 1 unit of orange juice and 1 unit of water was used to make 2 units of orangeade;
On the second day 1 unit of orange juice and 2 units of water was used to make 3 units of orangeade;

So, the ratio of the amount of orangeade made on the first day to the amount of orangeade made on the second day is 2 to 3. Naturally the ratio of the # of glasses of orangeade made on the first day to the # of glasses of orangeade made on the second day is 2 to 3.

We are told that "the revenue from selling the orangeade was the same for both days" so the revenue from 2 glasses on the first day equals to the revenue from 3 glasses on the second day.

Say the price of the glass of the orangeade on the second day was $x then 2*0.6=3*x --> x=$0.4.

Answer: D.

Kudos points given to everyone with correct solution. Let me know if I missed someone.
_________________
Manager
Joined: 12 Jan 2013
Posts: 244
Followers: 4

Kudos [?]: 69 [0], given: 47

Re: On a certain day, orangeade was made by mixing a certain [#permalink]

### Show Tags

10 Jan 2014, 00:18
For the first day, we are given: X*(OJ) + X*(W) = Orangeade ----> For each glass, X accounts for 2 units

For the second day we are given X*(OJ) + 2X*(W) = Orangeade -----> For each glass, X accounts for 3 units

If, for 2 X, the "per unit" price is 0.3 (0.6/2), then for 3 X, the "per unit" price is 0.2 (0.6/3) ---> subtract the difference from the original: 0.6 - 0.2 = 0.4

The reason we subtract the difference is because we are told that the revenue is the same for both days.

Thus, the difference in per-glass revenue is equal to subtracting 0.2 from each sale because our 3/2 units of X in day two compared to day one dilutes our "per unit of X" revenue. So, when we know the magnitute of dilution, we know the cost of a glass in day 2.
Senior Manager
Joined: 20 Dec 2013
Posts: 273
Location: India
Followers: 0

Kudos [?]: 81 [0], given: 29

Re: On a certain day, orangeade was made by mixing a certain [#permalink]

### Show Tags

10 Jan 2014, 01:04
1
This post was
BOOKMARKED
Let total orangeade on first day be 2x units.
On second day,orangeade made will be 3x units.

R1=2x*.60=1.20x
R2=3x*T(say)

R1=R2
T=1.20x/3x=.40 per glass

Ans. D
Intern
Joined: 24 May 2014
Posts: 3
Followers: 0

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

Re: On a certain day, orangeade was made by mixing a certain [#permalink]

### Show Tags

06 Jun 2014, 12:44
never mind my question

Last edited by ilpadre123 on 11 Jun 2014, 03:55, edited 1 time in total.
Director
Joined: 10 Mar 2013
Posts: 608
Location: Germany
Concentration: Finance, Entrepreneurship
GMAT 1: 580 Q46 V24
GPA: 3.88
WE: Information Technology (Consulting)
Followers: 15

Kudos [?]: 266 [0], given: 200

On a certain day, orangeade was made by mixing a certain [#permalink]

### Show Tags

11 Jun 2014, 03:20
On the 2nd the amount sold was greater 1/3 than on the 1st day --> So the price should be 1/3 lower then 0,60
0,60x2/3 = 40
or one paid 0,60 for 1 liter mix on the 1st day -> the Volume got 1/3 greater - 1,5X = 60 ; X = 40

Update 2015
It's a proportion here R = Glases*Price if we raise the # of glases by 3/2 our price should change by 2/3 to keep the revenue unchanged (in balance or equal to the revenue of the 1st day) --> 0,60*2/3=0,40
_________________

When you’re up, your friends know who you are. When you’re down, you know who your friends are.

Share some Kudos, if my posts help you. Thank you !

800Score ONLY QUANT CAT1 51, CAT2 50, CAT3 50
GMAT PREP 670
MGMAT CAT 630
KAPLAN CAT 660

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13426
Followers: 575

Kudos [?]: 163 [0], given: 0

Re: On a certain day, orangeade was made by mixing a certain [#permalink]

### Show Tags

10 Jul 2015, 05:45
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.
_________________
Current Student
Joined: 23 Mar 2016
Posts: 38
Schools: Tulane '18 (M)
Followers: 0

Kudos [?]: 2 [0], given: 0

Re: On a certain day, orangeade was made by mixing a certain [#permalink]

### Show Tags

02 May 2016, 13:28
Simple question here, hoping this helps anyone!

OJ + W = D1
OJ + 2W = D2

1 part OJ + 1 part W = 2 parts * .6 = 1.20

1 part OJ + 2 part W = 3 parts * x = 1.20
3 parts * x = 1.20
1.20 / 3 = x = .4
Senior Manager
Joined: 07 Dec 2014
Posts: 490
Followers: 3

Kudos [?]: 80 [0], given: 2

Re: On a certain day, orangeade was made by mixing a certain [#permalink]

### Show Tags

03 May 2016, 19:34
assume they sell 100 glasses on day 1 at 60¢ per glass, for total revenue of $60 on day 2 they sell (3/2)(100)=150 glasses, for same total revenue of$60
$60/150 glasses=40¢ per glass Re: On a certain day, orangeade was made by mixing a certain [#permalink] 03 May 2016, 19:34 Similar topics Replies Last post Similar Topics: 60 An investment of$1000 was made in a certain account and ear 20 24 Nov 2012, 12:28
45 On a certain day, orangeade was made by mixing a certain 15 24 May 2012, 22:32
19 At a certain paint store "forest green"is made by mixing 4 p 10 15 Jan 2010, 12:57
3 A certain manufacturer of cake, muffin, and bread mixes has 11 20 Sep 2009, 08:32
7 A certain shade of gray paint is obtained by mixing 3 parts 12 12 Feb 2007, 08:32
Display posts from previous: Sort by

# On a certain day, orangeade was made by mixing a certain

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

 Powered by phpBB © phpBB Group and phpBB SEO 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®.