GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 24 May 2019, 02:16

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

A nut mix contains, by weight, 20 percent peanuts and 80 percent cashe

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

Hide Tags

 
Current Student
avatar
B
Joined: 11 Jul 2016
Posts: 25
Location: Thailand
GMAT 1: 700 Q48 V38
A nut mix contains, by weight, 20 percent peanuts and 80 percent cashe  [#permalink]

Show Tags

New post Updated on: 06 Feb 2017, 20:49
11
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

68% (02:40) correct 32% (02:35) wrong based on 149 sessions

HideShow timer Statistics

A nut mix contains, by weight, 20 percent peanuts and 80 percent cashews. If this mixture costs 10 percent more than the cost of an equal quantity of pure peanuts, by what percent are cashews more expensive than peanuts?

A) 10.0%
B) 12.5%
C) 15.0%
D) 22.5%
E) 25.0%





Source - Manhattan Review GMAT Quant

Originally posted by ssr300 on 04 Feb 2017, 19:55.
Last edited by ssr300 on 06 Feb 2017, 20:49, edited 1 time in total.
Most Helpful Expert Reply
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7685
Re: A nut mix contains, by weight, 20 percent peanuts and 80 percent cashe  [#permalink]

Show Tags

New post 04 Feb 2017, 22:11
8
3
sharma123 wrote:
ssr300 wrote:
A nut mix contains, by weight, 20 percent peanuts and 80 percent cashews. If this mixture costs 10 percent more than the cost of an equal quantity of pure peanuts, by what percent are cashews more expensive than peanuts?

A) 10.0%
B) 12.5%
C) 15.0%
D) 22.5%
E) 25.0%





Source - Manhattan Review GMAT Quant

i think answer is B 12.5%

let price of 100gms peanuts be 100
so price of 100 gms mix = 110(20 gms peanut + 80 gms cashw)
now 500 gms mix will be 550(100 gms peanut+400 gms cashew)
as we know price of 100 gms peanut is 100; price of 400 gms cashew is 450
so (450/400)*100=112.5
12.5% more than price of 100 gm peanuts

chetan2u can you please correct me if im wrong also if there is any simpler method to solve


Hi,

You are absolutely correct with your method..

A faster, may be slightly more logical, way would be...
80% cashew is making a difference of 10%, so 100% cashew will make a difference of\(\frac{100*10}{80}\)=12.5%
_________________
General Discussion
Intern
Intern
avatar
B
Joined: 29 Oct 2014
Posts: 36
Reviews Badge
Re: A nut mix contains, by weight, 20 percent peanuts and 80 percent cashe  [#permalink]

Show Tags

New post 04 Feb 2017, 21:11
1
ssr300 wrote:
A nut mix contains, by weight, 20 percent peanuts and 80 percent cashews. If this mixture costs 10 percent more than the cost of an equal quantity of pure peanuts, by what percent are cashews more expensive than peanuts?

A) 10.0%
B) 12.5%
C) 15.0%
D) 22.5%
E) 25.0%





Source - Manhattan Review GMAT Quant

i think answer is B 12.5%

let price of 100gms peanuts be 100
so price of 100 gms mix = 110(20 gms peanut + 80 gms cashw)
now 500 gms mix will be 550(100 gms peanut+400 gms cashew)
as we know price of 100 gms peanut is 100; price of 400 gms cashew is 450
so (450/400)*100=112.5
12.5% more than price of 100 gm peanuts

chetan2u can you please correct me if im wrong also if there is any simpler method to solve
Director
Director
avatar
P
Joined: 14 Nov 2014
Posts: 621
Location: India
GMAT 1: 700 Q50 V34
GPA: 3.76
Re: A nut mix contains, by weight, 20 percent peanuts and 80 percent cashe  [#permalink]

Show Tags

New post 04 Feb 2017, 21:20
1
2
[quote="ssr300"]A nut mix contains, by weight, 20 percent peanuts and 80 percent cashews. If this mixture costs 10 percent more than the cost of an equal quantity of pure peanuts, by what percent are cashews more expensive than peanuts?

A) 10.0%
B) 12.5%
C) 15.0%
D) 22.5%
E) 25.0%




let price of peanut per gm be "P" and cashew "C"
now
20P + 80C =total cost of mixture(Let total quantity be 100 gm)----1

According to question it is given that "mixture costs 10 percent more than the cost of an equal quantity of pure peanuts"
100gm mixture will cost 110P---2

20P+80C = 110p
80C = 90P----3
we have to find by what percent cashew more expensive than peanuts,so basically we need to get C-P/P *100
From 3 we can get 8C =9P
C/P = 9/8
C/P-1=9/8-1
((C-P)/P)*100=1/8*100 = 12.5%
VP
VP
avatar
P
Joined: 07 Dec 2014
Posts: 1192
Re: A nut mix contains, by weight, 20 percent peanuts and 80 percent cashe  [#permalink]

Show Tags

New post 06 Feb 2017, 18:16
1
A nut mix contains, by weight, 20 percent peanuts and 80 percent cashews. If this mixture costs 10 percent more than the cost of an equal quantity of pure peanuts, by what percent are cashews more expensive than peanuts?

A) 10.0%
B) 12.5%
C) 15.0%
D) 22.5%
E) 25.0%

if mix 1 contains 100 peanuts and costs $1.00,
then 1 peanut costs $1.00/100=1¢
if mix 2 contains 20 peanuts and 80 cashews and costs $1.10,
then 1 cashew costs [$1.1-(20*1¢)]/80=1.125¢
1.125-1=.125
.125/1=12.5% cost increase from peanuts to cashews
B
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2823
Re: A nut mix contains, by weight, 20 percent peanuts and 80 percent cashe  [#permalink]

Show Tags

New post 06 Mar 2018, 11:30
ssr300 wrote:
A nut mix contains, by weight, 20 percent peanuts and 80 percent cashews. If this mixture costs 10 percent more than the cost of an equal quantity of pure peanuts, by what percent are cashews more expensive than peanuts?

A) 10.0%
B) 12.5%
C) 15.0%
D) 22.5%
E) 25.0%


We can assume that are 10 lbs of mixed nuts; so there are 2 lbs of peanuts and 8 lbs of cashews. We can also assume that the peanuts cost $10 per pound; so the mixed nuts cost $11 per pound. Now if we let c = the cost of cashews, we have:

2(10) + 8c = 10(11)

20 + 8c = 110

8c = 90

c = 90/8 = 45/4 = 11.25

Thus, the cashews are (11.25 - 10)/10 = 1.25/10 = 0.125 = 12.5% more expensive than the peanuts.

Answer: B
_________________

Jeffrey Miller

Head of GMAT Instruction

Jeff@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 11007
Re: A nut mix contains, by weight, 20 percent peanuts and 80 percent cashe  [#permalink]

Show Tags

New post 14 Apr 2019, 07:27
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 Bot
Re: A nut mix contains, by weight, 20 percent peanuts and 80 percent cashe   [#permalink] 14 Apr 2019, 07:27
Display posts from previous: Sort by

A nut mix contains, by weight, 20 percent peanuts and 80 percent cashe

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


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| 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®.