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# A tree was 4 feet tall when planted. Its height increases by

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A tree was 4 feet tall when planted. Its height increases by [#permalink]

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17 Aug 2008, 16:25
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

A tree was 4 feet tall when planted. Its height increases by constant amount every year for next 6 years. At the end of 6th year, it was 1/5 th taller than it was at the end of 4th year. By how many feet did the height of the tree increase each year.

A. 3/10
B. 2/5
C. 1/2
D. 2/3
E. 6/5

Moderator : This question is from GMAT PREP. Hope it does not violate copyright issue.
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17 Aug 2008, 16:33
tekno9000 wrote:
A tree was 4 feet tall when planted. Its height increases by constant amount every year for next 6 years. At the end of 6th year, it was 1/5 th taller than it was at the end of 4th year. By how many feet did the height of the tree increase each year.

A. 3/10
B. 2/5
C. 1/2
D. 2/3
E. 6/5

Moderator : This question is from GMAT PREP. Hope it does not violate copyright issue.

D

((4+6c) - (4+4c))/(4+4c) = 1/5
(4+6c)/(4+4c) - 1 = 1/5
(4+6c)/(4+4c) = 6/5
4+6c = (6/5)(4+4c)
4+6c = 24/5 + (24/5)c
1.2c = .8
c = 2/3

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17 Aug 2008, 16:57
why do u divide by 4+4C?
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Rocky

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17 Aug 2008, 18:37
tekno9000 wrote:
why do u divide by 4+4C?

we're dealing in percentages here. The tree was 1/5 taller -- 20% taller. so you need the growth from year 4 to 6 as a percentage of year 4's height.

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Re: Tree growth   [#permalink] 17 Aug 2008, 18:37
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