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The total of company C's assets in 1994 was 300% greater tha

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The total of company C's assets in 1994 was 300% greater tha [#permalink] New post 23 Jan 2010, 17:22
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The total of company C's assets in 1994 was 300% greater than the total in 1993, which in turn was 400% greater than the total in 1992. If the total of company C's assets in in 1992 was N dollars, which one of the following represents company C's assets in 1994:

A. 7N
B. 8N
C. 9N
D. 12N
E. 20N
[Reveal] Spoiler: OA
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Re: PS question, please explain! [#permalink] New post 23 Jan 2010, 17:31
Parisa1362 wrote:
The total of company C's assets in 1994 was 300% greater than the total in 1993, which in turn was 400% greater than the total in 1992. If the total of company C's assets in in 1992 was N dollars, which one of the following represents company C's assets in 1994:

- 7N
- 8N
- 9N
-12N
- 20N

Answer: 20N please explain!



Profit in 1992 = N
Profit in 1993 = 4*N (400% of N) + N = 5N --- 400% greater really means 1993 is 5 times that of 1992.
Profit in 1994 = 3*1992 = 3*(5*N) = 15N + 5N = 20N -- 300% greater really means 1994 is 4 times that of 1993.
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Re: PS question, please explain! [#permalink] New post 23 Jan 2010, 17:33
Let's use actual numbers. Starting in 1992, let's say company C had $100 in assets.

In 1993, the total assets were 400% GREATER, which means 1992 PLUS 400% of 1992:
$100 + 4x$100 = $100 + $400 = $500

In 1994, the total assets were 300% GREATER than they were in 1993, which means 1993 PLUS 300% of 1993:
$500 + 3x$500 = $500 + $1500 = $2000

This is 20 times the 1992 number, so the correct answer is 20N.

EDIT: looks like i was beaten to the punch!
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Re: PS question, please explain! [#permalink] New post 24 Jan 2010, 00:28
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Re: The total of company C's assets in 1994 was 300% greater tha [#permalink] New post 11 Dec 2013, 08:25
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Re: The total of company C's assets in 1994 was 300% greater tha [#permalink] New post 11 Dec 2013, 09:38
1992=100 1993=+400% (100)=500 1994=+300%(1993)=2000

N=10, in 1994 must be 2000, so the ans is E
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Re: The total of company C's assets in 1994 was 300% greater tha [#permalink] New post 11 Dec 2013, 11:21
It can be done alternatively with successive change without use of paper n pen.

Consecutive increase of 400% n 300% of N dollar.
So, Total change %= 400+300+(400*300)/100=1900%

So Net change = N=1900% of N=N+19N=20N
Re: The total of company C's assets in 1994 was 300% greater tha   [#permalink] 11 Dec 2013, 11:21
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