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Based on this year's costs, an orcharde grower budgets P [#permalink]
 13 Jun 2008, 05:53
Question Stats:
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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
Last edited by Bunuel on 27 Jan 2012, 11:36, edited 1 time in total.
Added the OA
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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
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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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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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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, 10:52
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
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Re: Based on this year's costs, an orcharde grower budgets P [#permalink]
27 Jan 2012, 11:35
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 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 $1/1.25=0.8 trees, which is 20% less. Answer: A.
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Re: Based on this year's costs, an orcharde grower budgets P [#permalink]
19 Feb 2012, 23:49
puma wrote: Based on this year's costs, an orcharde grower budgets P dollars for planing N new trees next year. If the average cost of planting each tree were to increase 25% from this year's cost, then the greatest number of trees that the orchard grower could plant next year using P dollars would be
A) 20% less than N
B) 25% less than N
C) equal to N
D) 20% greater than N
E) 25% greater than N Hi, I got confused with the absence of numbers. So here's how I did it. Lets say it costs 16$ - 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 ?
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Re: Based on this year's costs, an orcharde grower budgets P [#permalink]
19 Feb 2012, 23:55
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]
19 Feb 2012, 23:55
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