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Based on this years costs, an orcharde grower budgets P

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Based on this years costs, an orcharde grower budgets P [#permalink] New post 31 Jan 2007, 05:14
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Based on this year’s costs, an orcharde grower budgets P dollars for planting N new trees next year. If the average cost of planting each tree were to increase 25 percent 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
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Re: PS - Percents [#permalink] New post 31 Jan 2007, 06:43
TOUGH GUY wrote:
Based on this year’s costs, an orcharde grower budgets P dollars for planting N new trees next year. If the average cost of planting each tree were to increase 25 percent from this year’s cost ,then the greatest number of trees that the orchard grower could plant next year using P dollars would be.



average cost = (budget for planting)/(total trees)

The average cost of planting tree this year = P/N
The average cost of planting tree next year increase 25% = (P/N)' = 1.25(P/N)

Assume N' is the plant that can be growed next year with the same amout budget P
=> 1.25(P/N) = P/ N'

N' = P/(1.25P/N) = N/1.25 = 4N/5 = 0.8N

N' is 80% of N thus the owner can grow 20% less than last year

A. is the answer
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 [#permalink] New post 31 Jan 2007, 13:08
You can always pick numbers for P and N

P=N * avg. cost

A
  [#permalink] 31 Jan 2007, 13:08
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