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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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This post was BOOKMARKED
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Difficulty:
25% (medium)
Question Stats:
75% (02:23) correct
25% (01:20) wrong based on 153 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
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
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
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 _________________
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 $1/1.25=0.8 trees, which is 20% less.
Re: Based on this year's costs, an orcharde grower budgets P [#permalink]
19 Feb 2012, 22:49
puma wrote:
Based on this year's costs, an orcharde grower budgets P dollars for planing N new trees next year. If the average cost of planting each tree were to increase 25% from this year's cost, then the greatest number of trees that the orchard grower could plant next year using P dollars would be
A) 20% less than N B) 25% less than N C) equal to N D) 20% greater than N E) 25% greater than N
Hi, I got confused with the absence of numbers. So here's how I did it.
Lets say it costs 16$ - 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 ?
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. _________________
Re: Based on this year's costs, an orcharde grower budgets P [#permalink]
08 Jan 2015, 17:01
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