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# Price increased by X% from 2001 to 2002 and by Y% from 2002

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Director
Joined: 09 Aug 2006
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Price increased by X% from 2001 to 2002 and by Y% from 2002 [#permalink]  11 Sep 2007, 00:42
00:00

Difficulty:

(N/A)

Question Stats:

100% (01:05) correct 0% (00:00) wrong based on 4 sessions
Price increased by X% from 2001 to 2002 and by Y% from 2002 to 2003.
What is the percentage increase from 2001 to 2003?

1) XY=30
2) 100X+100Y+XY=800

Pls. explain. Thanks.
Senior Manager
Joined: 27 Aug 2007
Posts: 253
Followers: 1

Kudos [?]: 10 [0], given: 0

It think it is B

2001=a 2002=b 2003=c

(b-a)/a=x

(c-b)/b=y

required to find (c-a)/a = ?

1) insufficient, cause

(b-a)(c-b)/ab = 30 this will not suffice ot derive (c-a)/a

2) sufficient

100*((b(b-a)+a(c-b))/ab+(b-a)(c-b)/ab)=800

when it is suimplified than it becomes

b(c-a)/ab = 8 (c-a)/a = 8

Ans: B
Manager
Joined: 29 Aug 2007
Posts: 110
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Kudos [?]: 2 [0], given: 0

It took me a while to solve the equation with OPtion B

But simplifying it bring it to ( C-a)/a = 8
Current Student
Joined: 28 Dec 2004
Posts: 3391
Location: New York City
Schools: Wharton'11 HBS'12
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Re: DS: Percentage increase [#permalink]  11 Sep 2007, 11:07
B it is..

here is a short cut formula to remember..

if price is increase by x% then by y% the resulting net increase after the successive increments is always (X + Y + XY/100)

in our question below

2) is simply the equation..re-written B is sufficient

It took me about 5 secs to do this..

GK_Gmat wrote:
Price increased by X% from 2001 to 2002 and by Y% from 2002 to 2003.
What is the percentage increase from 2001 to 2003?

1) XY=30
2) 100X+100Y+XY=800

Pls. explain. Thanks.
Senior Manager
Joined: 13 Mar 2007
Posts: 295
Location: Russia, Moscow
Followers: 2

Kudos [?]: 22 [0], given: 0

Re: DS: Percentage increase [#permalink]  11 Sep 2007, 11:38
GK_Gmat wrote:
Price increased by X% from 2001 to 2002 and by Y% from 2002 to 2003.
What is the percentage increase from 2001 to 2003?

1) XY=30
2) 100X+100Y+XY=800

Pls. explain. Thanks.

B it is

((x+100)/100)*((y+100)/100)=(10000+100y+100x+xy)/10000
Director
Joined: 08 Jun 2007
Posts: 584
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Kudos [?]: 79 [0], given: 0

Re: DS: Percentage increase [#permalink]  11 Sep 2007, 18:40
GK_Gmat wrote:
Price increased by X% from 2001 to 2002 and by Y% from 2002 to 2003.
What is the percentage increase from 2001 to 2003?

1) XY=30
2) 100X+100Y+XY=800

Pls. explain. Thanks.

B . just a similar question but a bit tough though . this one was simple.
CEO
Joined: 21 Jan 2007
Posts: 2764
Location: New York City
Followers: 9

Kudos [?]: 348 [0], given: 4

Re: DS: Percentage increase [#permalink]  21 Nov 2007, 10:04
fresinha12 wrote:
B it is..

here is a short cut formula to remember..

if price is increase by x% then by y% the resulting net increase after the successive increments is always (X + Y + XY/100)

in our question below

2) is simply the equation..re-written B is sufficient

It took me about 5 secs to do this..

GK_Gmat wrote:
Price increased by X% from 2001 to 2002 and by Y% from 2002 to 2003.
What is the percentage increase from 2001 to 2003?

1) XY=30
2) 100X+100Y+XY=800

Pls. explain. Thanks.

how do i rearrange 100X+100Y+XY=800 into the X + Y + (XY/100) format?
CEO
Joined: 21 Jan 2007
Posts: 2764
Location: New York City
Followers: 9

Kudos [?]: 348 [0], given: 4

Is there a shortcut for increase - decrease?
Manager
Joined: 01 Oct 2007
Posts: 87
Followers: 0

Kudos [?]: 14 [0], given: 0

Re: DS: Percentage increase [#permalink]  29 Nov 2007, 15:33
bmwhype2 wrote:
fresinha12 wrote:
B it is..

here is a short cut formula to remember..

if price is increase by x% then by y% the resulting net increase after the successive increments is always (X + Y + XY/100)

in our question below

2) is simply the equation..re-written B is sufficient

It took me about 5 secs to do this..

GK_Gmat wrote:
Price increased by X% from 2001 to 2002 and by Y% from 2002 to 2003.
What is the percentage increase from 2001 to 2003?

1) XY=30
2) 100X+100Y+XY=800

Pls. explain. Thanks.

how do i rearrange 100X+100Y+XY=800 into the X + Y + (XY/100) format?

Divide both sides by 100:

100X + 100Y + XY = 800
X + Y + XY/100 = 8.
Re: DS: Percentage increase   [#permalink] 29 Nov 2007, 15:33
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