How many pounds of salt at 50 cents/lb must be mixed : GMAT Problem Solving (PS)
Check GMAT Club App Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 09 Dec 2016, 20:18

### 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

# How many pounds of salt at 50 cents/lb must be mixed

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

### Hide Tags

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 [?]: 366 [1] , given: 50

How many pounds of salt at 50 cents/lb must be mixed [#permalink]

### Show Tags

07 Aug 2012, 12:26
1
This post received
KUDOS
7
This post was
BOOKMARKED
00:00

Difficulty:

45% (medium)

Question Stats:

72% (02:50) correct 28% (02:51) wrong based on 207 sessions

### HideShow timer Statistics

How many pounds of salt at 50 cents/lb must be mixed with 40 lbs of salt that costs 35 cents/lb so that a merchant will get 20% profit by selling the mixture at 48 cents/lb?

A) 20
B) 15
C) 40
D) 50
E) 25

Source: 4gmat
[Reveal] Spoiler: OA

_________________

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

Intern
Joined: 19 Apr 2012
Posts: 28
Followers: 0

Kudos [?]: 3 [0], given: 8

Re: How many pounds of salt at 50 cents/lb must be mixed [#permalink]

### Show Tags

07 Aug 2012, 13:23
I would do it this way:

1,2(50x + 40*35 / x+40) = 48

Solve for x = 20, so it's A. The path is quite long, maybe somehone has some shortcuts.
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 7076
Location: Pune, India
Followers: 2089

Kudos [?]: 13304 [4] , given: 222

Re: How many pounds of salt at 50 cents/lb must be mixed [#permalink]

### Show Tags

07 Aug 2012, 20:59
4
This post received
KUDOS
Expert's post
3
This post was
BOOKMARKED
SOURH7WK wrote:
How many pounds of salt at 50 cents/lb must be mixed with 40 lbs of salt that costs 35 cents/lb so that a merchant will get 20% profit by selling the mixture at 48 cents/lb?

A) 20
B) 15
C) 40
D) 50
E) 25

Source: 4gmat

Selling price is 48 cents/lb
For a 20% profit, cost price should be 40 cents/lb (CP*6/5 = 48)

Basically, you need to mix 35 cents/lb (Salt 1) with 50 cents/lb (Salt 2) to get a mixture costing 40 cents/lb (Salt Avg)

weight of Salt1/weight of Salt2 = (Salt2 - SaltAvg)/(SaltAvg - Salt1) = (50 - 40)/(40 - 35) = 2/1
We know that weight of salt 1 is 40 lbs. Weight of salt 2 must be 20 lbs.

Answer (A)

Check these posts for details of this method:
http://www.veritasprep.com/blog/2011/03 ... -averages/
http://www.veritasprep.com/blog/2011/04 ... -mixtures/
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for $199 Veritas Prep Reviews Intern Joined: 27 Jul 2012 Posts: 25 Followers: 0 Kudos [?]: 22 [0], given: 14 Re: How many pounds of salt at 50 cents/lb must be mixed [#permalink] ### Show Tags 08 Aug 2012, 03:26 First From: x*1.2=48 Thus for 20% profit the cost should be 40c/lb. Now fastest way is to use alligation. salt A Salt B 35 50 40 10 5 expalanation: 40-35=5 and 50-40=10 10:5 is the ratio in which A and B are mixed ie 2:1 if A is 40lbs then B is 20lbs Alligation is the fastest way for these kind of questions Intern Joined: 05 Aug 2012 Posts: 16 Location: United States (CO) Concentration: Finance, Economics GMAT Date: 01-15-2014 GPA: 2.62 WE: Research (Investment Banking) Followers: 0 Kudos [?]: 9 [0], given: 8 Re: How many pounds of salt at 50 cents/lb must be mixed [#permalink] ### Show Tags 08 Aug 2012, 13:14 I agree to find the price where 20% profit = 48 cents a bag, which is 1.2x=.48, so the cost you are looking for is .4 or 40 cents. Now just set average cost of materials = .4 Where x = pounds at price of 50 cents... (.5x + .35(40))/(x+40) = .4 gets you down to .1x=2 x = 20 , choice A Senior Manager Joined: 23 Oct 2010 Posts: 386 Location: Azerbaijan Concentration: Finance Schools: HEC '15 (A) GMAT 1: 690 Q47 V38 Followers: 21 Kudos [?]: 316 [0], given: 73 Re: How many pounds of salt at 50 cents/lb must be mixed [#permalink] ### Show Tags 08 Aug 2012, 21:41 1.2y=48 y=40 50x+35*40=40(x+40) x=20 _________________ Happy are those who dream dreams and are ready to pay the price to make them come true I am still on all gmat forums. msg me if you want to ask me smth Current Student Joined: 03 Aug 2012 Posts: 916 Concentration: General Management, General Management GMAT 1: 630 Q47 V29 GMAT 2: 680 Q50 V32 GPA: 3.7 WE: Information Technology (Investment Banking) Followers: 23 Kudos [?]: 676 [0], given: 322 Re: How many pounds of salt at 50 cents/lb must be mixed [#permalink] ### Show Tags 18 Apr 2014, 23:13 Alligation Says 50----------------------------------35 ---------------40------------------- 5------------------------------------10 Why 40 is because 1.2*40 = 48 at which it was sold. 50C:35C should be used in ratio 1:2 WKT, 35c used is 40 lbs then 50C used is 20 _________________ Rgds, TGC! _____________________________________________________________________ I Assisted You => KUDOS Please _____________________________________________________________________________ GMAT Club Legend Joined: 09 Sep 2013 Posts: 12904 Followers: 562 Kudos [?]: 158 [0], given: 0 Re: How many pounds of salt at 50 cents/lb must be mixed [#permalink] ### Show Tags 04 Aug 2015, 19:27 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 Club Legend Joined: 09 Sep 2013 Posts: 12904 Followers: 562 Kudos [?]: 158 [0], given: 0 Re: How many pounds of salt at 50 cents/lb must be mixed [#permalink] ### Show Tags 02 Sep 2016, 07:08 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. _________________ Senior Manager Joined: 07 Dec 2014 Posts: 456 Followers: 3 Kudos [?]: 77 [0], given: 2 How many pounds of salt at 50 cents/lb must be mixed [#permalink] ### Show Tags 02 Sep 2016, 12:43 (50x+1400)/5=(48x+1920)/6 10x+280=8x+320 x=20 SVP Joined: 05 Jul 2006 Posts: 1683 Followers: 6 Kudos [?]: 297 [0], given: 49 How many pounds of salt at 50 cents/lb must be mixed [#permalink] ### Show Tags 13 Nov 2016, 01:55 VeritasPrepKarishma wrote: SOURH7WK wrote: How many pounds of salt at 50 cents/lb must be mixed with 40 lbs of salt that costs 35 cents/lb so that a merchant will get 20% profit by selling the mixture at 48 cents/lb? A) 20 B) 15 C) 40 D) 50 E) 25 Source: 4gmat Selling price is 48 cents/lb For a 20% profit, cost price should be 40 cents/lb (CP*6/5 = 48) Basically, you need to mix 35 cents/lb (Salt 1) with 50 cents/lb (Salt 2) to get a mixture costing 40 cents/lb (Salt Avg) weight of Salt1/weight of Salt2 = (Salt2 - SaltAvg)/(SaltAvg - Salt1) = (50 - 40)/(40 - 35) = 2/1 We know that weight of salt 1 is 40 lbs. Weight of salt 2 must be 20 lbs. Answer (A) Check these posts for details of this method: http://www.veritasprep.com/blog/2011/03 ... -averages/ http://www.veritasprep.com/blog/2011/04 ... -mixtures/ Hi Karishma, I am trying to work with profits using the number line and it aint working , could you please give me your insight on what is going wrong with my method. loss if selling 100% of the 50 cents salt (salt A) is 2/50 and profit of selling 100% 35% salt (Salt B)is 13/35 , the target profit is a weighted mix of both profits (1/5) Loss from ( 100% Salt A)-14/350........(7 parts) ..................70/350..............(5 parts)..........130/350 (profit from 100% Salt B) Veritas Prep GMAT Instructor Joined: 16 Oct 2010 Posts: 7076 Location: Pune, India Followers: 2089 Kudos [?]: 13304 [0], given: 222 Re: How many pounds of salt at 50 cents/lb must be mixed [#permalink] ### Show Tags 14 Nov 2016, 04:13 yezz wrote: VeritasPrepKarishma wrote: SOURH7WK wrote: How many pounds of salt at 50 cents/lb must be mixed with 40 lbs of salt that costs 35 cents/lb so that a merchant will get 20% profit by selling the mixture at 48 cents/lb? A) 20 B) 15 C) 40 D) 50 E) 25 Source: 4gmat Selling price is 48 cents/lb For a 20% profit, cost price should be 40 cents/lb (CP*6/5 = 48) Basically, you need to mix 35 cents/lb (Salt 1) with 50 cents/lb (Salt 2) to get a mixture costing 40 cents/lb (Salt Avg) weight of Salt1/weight of Salt2 = (Salt2 - SaltAvg)/(SaltAvg - Salt1) = (50 - 40)/(40 - 35) = 2/1 We know that weight of salt 1 is 40 lbs. Weight of salt 2 must be 20 lbs. Answer (A) Check these posts for details of this method: http://www.veritasprep.com/blog/2011/03 ... -averages/ http://www.veritasprep.com/blog/2011/04 ... -mixtures/ Hi Karishma, I am trying to work with profits using the number line and it aint working , could you please give me your insight on what is going wrong with my method. loss if selling 100% of the 50 cents salt (salt A) is 2/50 and profit of selling 100% 35% salt (Salt B)is 13/35 , the target profit is a weighted mix of both profits (1/5) Loss from ( 100% Salt A)-14/350........(7 parts) ..................70/350..............(5 parts)..........130/350 (profit from 100% Salt B) If you work with profit, the cost price is the weight. Check here: https://www.veritasprep.com/blog/2014/1 ... -averages/ _________________ Karishma Veritas Prep | GMAT Instructor My Blog Get started with Veritas Prep GMAT On Demand for$199

Veritas Prep Reviews

SVP
Joined: 05 Jul 2006
Posts: 1683
Followers: 6

Kudos [?]: 297 [0], given: 49

Re: How many pounds of salt at 50 cents/lb must be mixed [#permalink]

### Show Tags

17 Nov 2016, 12:20
yezz wrote:
VeritasPrepKarishma wrote:
SOURH7WK wrote:
How many pounds of salt at 50 cents/lb must be mixed with 40 lbs of salt that costs 35 cents/lb so that a merchant will get 20% profit by selling the mixture at 48 cents/lb?

A) 20
B) 15
C) 40
D) 50
E) 25

Source: 4gmat

Selling price is 48 cents/lb
For a 20% profit, cost price should be 40 cents/lb (CP*6/5 = 48)

Basically, you need to mix 35 cents/lb (Salt 1) with 50 cents/lb (Salt 2) to get a mixture costing 40 cents/lb (Salt Avg)

weight of Salt1/weight of Salt2 = (Salt2 - SaltAvg)/(SaltAvg - Salt1) = (50 - 40)/(40 - 35) = 2/1
We know that weight of salt 1 is 40 lbs. Weight of salt 2 must be 20 lbs.

Answer (A)

Check these posts for details of this method:
http://www.veritasprep.com/blog/2011/03 ... -averages/
http://www.veritasprep.com/blog/2011/04 ... -mixtures/

Hi Karishma,

I am trying to work with profits using the number line and it aint working , could you please give me your insight on what is going wrong with my method.

loss if selling 100% of the 50 cents salt (salt A) is 2/50 and profit of selling 100% 35% salt (Salt B)is 13/35 , the target profit is a weighted mix of both profits (1/5)

Loss from ( 100% Salt A)-14/350........(7 parts) ..................70/350..............(5 parts)..........130/350 (profit from 100% Salt B)

I get it now , to use weighted average in profit problems , we must use the multiplicative relation of selling price and cost , i,e

selling price/cost = 1.x where x is the profit and hence we use cost as weights ( if we use a weighted average formula) since in a multiplicative relation profit is selling price/unit of cost.

in our case here

selling price / cost = 1.2 , thus [48 *( 40+x)] / (50x+35*40) = 1.2 and x = 20
Re: How many pounds of salt at 50 cents/lb must be mixed   [#permalink] 17 Nov 2016, 12:20
Similar topics Replies Last post
Similar
Topics:
1 How much tea worth $0.93 per pound must be mixed with tea worth$0.75 5 24 Jan 2016, 05:29
6 A wholesaler wishes to sell 100 pounds of mixed nuts at \$2.50 a pound. 8 26 Nov 2014, 06:45
6 How many ounces of a 60% salt solution must be added to 50 6 16 Dec 2012, 23:03
3 How many gallons of water must be mixed with 1 gallon of a 6 23 Mar 2012, 16:04
2 How many gallons of water must be mixed with 1 gallon of a 15% salt so 2 15 Oct 2010, 09:20
Display posts from previous: Sort by

# How many pounds of salt at 50 cents/lb must be mixed

 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®.