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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## A nut mix contains, by weight, 20 percent peanuts and... tagged by: swerve ##### This topic has 2 expert replies and 0 member replies ### Top Member ## A nut mix contains, by weight, 20 percent peanuts and... A nut mix contains, by weight, 20 percent peanuts, and 80 percent cashews. If the mixture costs 10 percent more than the cost of an equal quantity of pure peanuts, by what percent are cashews more expensive than peanuts? A. 10% B. 12.5% C. 15.0% D. 22.5% E. 25.0% The OA is B. I think that I can solve this PS question in the following way, Let the price of 100g peanuts be 100$.

So the price of 100 g mix = 110(20 g peanut + 80 g cashews).

Now 500 g mix will be 550(100 g peanut+400 g cashew).

As we know the price of 100 g peanut is 100; the price of 400 g cashews is 450.

So (450/400)*100=112.5, 12.5% more than the price of 100 g peanuts, right?

Is there a strategic approach to this question? Can any experts help, please?

### GMAT/MBA Expert

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swerve wrote:
A nut mix contains, by weight, 20 percent peanuts, and 80 percent cashews. If the 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%
B. 12.5%
C. 15.0%
D. 22.5%
E. 25.0%

The OA is B.

I think that I can solve this PS question in the following way,

Let the price of 100g peanuts be 100$. So the price of 100 g mix = 110(20 g peanut + 80 g cashews). Now 500 g mix will be 550(100 g peanut+400 g cashew). As we know the price of 100 g peanut is 100; the price of 400 g cashews is 450. So (450/400)*100=112.5, 12.5% more than the price of 100 g peanuts, right? Is there a strategic approach to this question? Can any experts help, please? P = cost of bag of peanuts C = cost of bag of cashews T1 = cost of mixture 1 T2 = cost of mixture 2 T1 = 0.2P + 0.8C T2 = 1P We know that T1 = 1.1T2 0.2P + 0.8C = 1.1(P) 0.8C = 0.9P C/P = 0.9/0.8 = 1.125 Cashews cost 12.5% more than Peanuts Answer = B. ### GMAT/MBA Expert GMAT Instructor Joined 09 Apr 2015 Posted: 1461 messages Followed by: 17 members Upvotes: 39 swerve wrote: A nut mix contains, by weight, 20 percent peanuts, and 80 percent cashews. If the 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% 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 • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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