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# Based on this year's costs, an orcharde grower budgets P

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Based on this year's costs, an orcharde grower budgets P [#permalink]  13 Jun 2008, 04:53
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Based on this year's costs, an orcharde grower budgets P dollars for planing N new trees next year. If the average cost of planting each tree were to increase 25% from this year's cost, then the greatest number of trees that the orchard grower could plant next year using P dollars would be

A) 20% less than N
B) 25% less than N
C) equal to N
D) 20% greater than N
E) 25% greater than N
[Reveal] Spoiler: OA

Last edited by Bunuel on 27 Jan 2012, 10:36, edited 1 time in total.
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Re: trees [#permalink]  13 Jun 2008, 04:58

This year, the price of a tree is price1=P/N.

If this price increases by 25% it becomes price2=P/N*1.25

Then with P dollars, you can grow P/price2 tress i.e. P/(P/N*1.25) i.e. N/1.25 i.e. .80*N
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Re: trees [#permalink]  13 Jun 2008, 05:46
puma wrote:
Based on this year's costs, an orcharde grower budgets P dollars for planing N new trees next year. If the average cost of planting each tree were to increase 25% from this year's cost, then the greatest number of trees that the orchard grower could plant next year using P dollars would be

A) 20% less than N
B) 25% less than N
C) equal to N
D) 20% greater than N
E) 25% greater than N

Just plug in #'s.

160/16= 10 Trees. 160/20= 8 Trees.

The new trees are .8 of N.

Thus A.

Or you could just see that P/1.25N --> New Price = .8P/N New Tree --> P/.8P/N --> .8N
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Re: trees [#permalink]  13 Jun 2008, 06:35
puma wrote:
Based on this year's costs, an orcharde grower budgets P dollars for planing N new trees next year. If the average cost of planting each tree were to increase 25% from this year's cost, then the greatest number of trees that the orchard grower could plant next year using P dollars would be

A) 20% less than N
B) 25% less than N
C) equal to N
D) 20% greater than N
E) 25% greater than N

A.

this year, the cost to plant one tree is P/N dollars, it will become 5/4*P/N next year. In P dollars one can plant P/(5P/4N)
i.e. 4/5* N trees which is 80%of N thus 20%less than N
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Re: trees [#permalink]  03 Mar 2010, 09:00
1
KUDOS
Current Year
N = Number of Trees
C = Cost of Planting 1 Tree
P = Total Budget

P = N * C .......( i )

Next Year
M = Number of Trees
1.25C = Cost of Planting 1 Tree
P = Total Budget

P = M * 1.25C
NC = M * 1.25 C .......using (i)
M = (1/1.25)N
M = 0.8N

Hence 20% less than N

Ans A.
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Re: Based on this year's costs, an orcharde grower budgets P [#permalink]  27 Jan 2012, 09:52
Let P = 100, N = 25, cost per tree 100/25 = 4
25% increase of cost = 4*125% = 5
Total tree can be purchased with the same ($100) amount = 100/5 = 20, which is 5 less than previous 5/25*100 = 20% Less than N Ans. A _________________ Collections:- PSof OG solved by GC members: http://gmatclub.com/forum/collection-ps-with-solution-from-gmatclub-110005.html DS of OG solved by GC members: http://gmatclub.com/forum/collection-ds-with-solution-from-gmatclub-110004.html 100 GMAT PREP Quantitative collection http://gmatclub.com/forum/gmat-prep-problem-collections-114358.html Collections of work/rate problems with solutions http://gmatclub.com/forum/collections-of-work-rate-problem-with-solutions-118919.html Mixture problems in a file with best solutions: http://gmatclub.com/forum/mixture-problems-with-best-and-easy-solutions-all-together-124644.html Math Expert Joined: 02 Sep 2009 Posts: 31286 Followers: 5348 Kudos [?]: 62190 [0], given: 9444 Re: Based on this year's costs, an orcharde grower budgets P [#permalink] 27 Jan 2012, 10:35 Expert's post puma wrote: Based on this year's costs, an orcharde grower budgets P dollars for planing N new trees next year. If the average cost of planting each tree were to increase 25% from this year's cost, then the greatest number of trees that the orchard grower could plant next year using P dollars would be A) 20% less than N B) 25% less than N C) equal to N D) 20% greater than N E) 25% greater than N General formula for percent increase or decrease, (percent change): $$percent=\frac{Change}{Original}*100$$. Though this problem is fairly straightforward: if$1 buys 1 tree for 1$, then the same$1 will by $1/1.25=0.8 trees, which is 20% less. Answer: A. _________________ Intern Joined: 03 Dec 2010 Posts: 22 Followers: 0 Kudos [?]: 2 [0], given: 0 Re: Based on this year's costs, an orcharde grower budgets P [#permalink] 19 Feb 2012, 22:49 puma wrote: Based on this year's costs, an orcharde grower budgets P dollars for planing N new trees next year. If the average cost of planting each tree were to increase 25% from this year's cost, then the greatest number of trees that the orchard grower could plant next year using P dollars would be A) 20% less than N B) 25% less than N C) equal to N D) 20% greater than N E) 25% greater than N Hi, I got confused with the absence of numbers. So here's how I did it. Lets say it costs 16$ - 1 mango
160$- 10 mangoes According to qustn, the price of each mango increased by 25%, so now price of ach mango = 16+ 16*25/100= 20 So now 1 mango costs=$20.

Now in 160$he can buy 160/20= 8 mangoes, ie. 20% less than at previous rate. Basically what I did is I used the figuers of qustn, in a simple problem to get my ans. It took me less than 2 min to get correct ans. Pls let me know if I've used the right method ? Math Expert Joined: 02 Sep 2009 Posts: 31286 Followers: 5348 Kudos [?]: 62190 [0], given: 9444 Re: Based on this year's costs, an orcharde grower budgets P [#permalink] 19 Feb 2012, 22:55 Expert's post priyalr wrote: puma wrote: Based on this year's costs, an orcharde grower budgets P dollars for planing N new trees next year. If the average cost of planting each tree were to increase 25% from this year's cost, then the greatest number of trees that the orchard grower could plant next year using P dollars would be A) 20% less than N B) 25% less than N C) equal to N D) 20% greater than N E) 25% greater than N Hi, I got confused with the absence of numbers. So here's how I did it. Lets say it costs 16$ - 1 mango
160$- 10 mangoes According to qustn, the price of each mango increased by 25%, so now price of ach mango = 16+ 16*25/100= 20 So now 1 mango costs=$20.

Now in 160\$ he can buy 160/20= 8 mangoes, ie. 20% less than at previous rate.

Basically what I did is I used the figuers of qustn, in a simple problem to get my ans. It took me less than 2 min to get correct ans. Pls let me know if I've used the right method ?

Yes, your method is correct. If you read the solutions above, you'll see that most of them use basically the same approach just with different numbers.
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Re: Based on this year's costs, an orcharde grower budgets P [#permalink]  08 Jan 2015, 17:01
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Re: Based on this year's costs, an orcharde grower budgets P   [#permalink] 08 Jan 2015, 17:01
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