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Percentage Ques? quite complex..........

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by pardeep_10sharma » Sun Jun 27, 2010 1:25 am
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

Ans:- A
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by albatross86 » Sun Jun 27, 2010 2:58 am
P dollars will be used to plant N trees. So cost of planting each tree on average is P/N

This is now increased by 25%. => New average cost = 1.25 P / N

Therefore if 1.25P dollars is needed for N trees, how many trees can we plant with P dollars?

= Money available / average cost
= P / (1.25P/N)
= N/ 1.25
= 1/1.25 * N
= 0.8* N

Thus it is 20% less than N

Pick A.
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by GMATGuruNY » Sun Jun 27, 2010 4:27 am
pardeep_10sharma 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.

A. 20% less than N
B. 25%less than N
C. equal to N
D. 20%greater than N
E. 25% greater than N

Ans:- A
When the answer choices are percentages and there are unknowns in the problem, plug in your own numbers.

Let N = 100 trees.
Let the cost per tree = $4
Then P = 4 * 100 = $400 to buy 100 trees

Increased cost per tree is 1.25 * 4 = $5
$400 will now buy 400/5 = 80 trees.
So we can buy 100-80 = 20% fewer trees.

The correct answer is A.
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by outreach » Sun Jun 27, 2010 5:08 am
orig estimate
$P for N trees
now the new price is $1.25P

$1.25P - N
P - ?

?=80%


HENCE A
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