Find all School-related info fast with the new School-Specific MBA Forum

It is currently 21 Oct 2014, 08:03

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

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

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Manager
Manager
avatar
Joined: 23 Mar 2008
Posts: 226
Followers: 1

Kudos [?]: 15 [0], given: 0

Based on this year's costs, an orcharde grower budgets P [#permalink] New post 13 Jun 2008, 04:53
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

70% (02:21) correct 30% (01:02) wrong based on 69 sessions
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.
Added the OA
Current Student
User avatar
Joined: 12 Jun 2008
Posts: 287
Schools: INSEAD Class of July '10
Followers: 6

Kudos [?]: 36 [0], given: 0

Re: trees [#permalink] New post 13 Jun 2008, 04:58
Correct answer is (A).

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
CEO
CEO
User avatar
Joined: 29 Mar 2007
Posts: 2593
Followers: 16

Kudos [?]: 197 [0], given: 0

Re: trees [#permalink] New post 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
Director
Director
avatar
Joined: 14 Aug 2007
Posts: 735
Followers: 7

Kudos [?]: 104 [0], given: 0

Re: trees [#permalink] New post 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
Intern
Intern
User avatar
Joined: 28 Jan 2010
Posts: 30
Followers: 0

Kudos [?]: 15 [0], given: 45

Re: trees [#permalink] New post 03 Mar 2010, 09:00
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.
Director
Director
User avatar
Status: GMAT Learner
Joined: 14 Jul 2010
Posts: 651
Followers: 34

Kudos [?]: 251 [0], given: 32

Re: Based on this year's costs, an orcharde grower budgets P [#permalink] New post 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
_________________

I am student of everyone-baten
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

Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 23352
Followers: 3604

Kudos [?]: 28712 [0], given: 2816

Re: Based on this year's costs, an orcharde grower budgets P [#permalink] New post 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.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Intern
Intern
avatar
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] New post 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 ?
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 23352
Followers: 3604

Kudos [?]: 28712 [0], given: 2816

Re: Based on this year's costs, an orcharde grower budgets P [#permalink] New post 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.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Get the best GMAT Prep Resources with GMAT Club Premium Membership

Re: Based on this year's costs, an orcharde grower budgets P   [#permalink] 19 Feb 2012, 22:55
    Similar topics Author Replies Last post
Similar
Topics:
Based on this year s costs, an orcharde grower budgets P petercao 2 20 Nov 2008, 10:32
Based on this year s costs, an orcharde grower budgets P gorden 1 19 Nov 2008, 18:39
Based on this year's cost, an orchade grower budgets P bewakoof 4 25 Jul 2007, 21:07
Based on this years costs, an orcharde grower budgets P TOUGH GUY 2 31 Jan 2007, 05:14
Based on this years costs, an orcharde grower budgets P TOUGH GUY 3 08 Oct 2006, 09:51
Display posts from previous: Sort by

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

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

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®.