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

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13 Jun 2008, 05:53

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A

B

C

D

E

Difficulty:

25% (medium)

Question Stats:

74% (02:26) correct
26% (01:14) wrong based on 189 sessions

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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

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]

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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 _________________

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

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27 Jan 2012, 11:35

Expert's post

1

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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

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]

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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 ?

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

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19 Feb 2012, 23:55

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]

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08 Jan 2015, 18:01

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

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21 Feb 2016, 04:02

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