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• ### $450 Tuition Credit & Official CAT Packs FREE December 15, 2018 December 15, 2018 10:00 PM PST 11:00 PM PST Get the complete Official GMAT Exam Pack collection worth$100 with the 3 Month Pack ($299) • ### FREE Quant Workshop by e-GMAT! December 16, 2018 December 16, 2018 07:00 AM PST 09:00 AM PST Get personalized insights on how to achieve your Target Quant Score. # 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 Intern 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 Updated on: 06 Feb 2017, 19:49 8 00:00 Difficulty: 55% (hard) Question Stats: 69% (02:39) correct 31% (02:35) wrong based on 175 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, 18:55. Last edited by ssr300 on 06 Feb 2017, 19:49, edited 1 time in total. ##### Most Helpful Expert Reply Math Expert Joined: 02 Aug 2009 Posts: 7107 Re: A nut mix contains, by weight, 20 percent peanuts and 80 percent cashe [#permalink] ### Show Tags 04 Feb 2017, 21:11 7 2 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% _________________ 1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372 2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html 3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html GMAT online Tutor ##### General Discussion Intern Joined: 29 Oct 2014 Posts: 38 Re: A nut mix contains, by weight, 20 percent peanuts and 80 percent cashe [#permalink] ### Show Tags 04 Feb 2017, 20:11 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 Joined: 14 Nov 2014 Posts: 634 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 04 Feb 2017, 20:20 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 Joined: 07 Dec 2014 Posts: 1128 Re: A nut mix contains, by weight, 20 percent peanuts and 80 percent cashe [#permalink] ### Show Tags 06 Feb 2017, 17:16 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 Status: Head GMAT Instructor Affiliations: Target Test Prep Joined: 04 Mar 2011 Posts: 2830 Re: A nut mix contains, by weight, 20 percent peanuts and 80 percent cashe [#permalink] ### Show Tags 06 Mar 2018, 10:30 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.

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Jeffery Miller

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Re: A nut mix contains, by weight, 20 percent peanuts and 80 percent cashe &nbs [#permalink] 06 Mar 2018, 10:30
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