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# A is x % more than B. B is y % less than C. If A, B, and C are positiv

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General GMAT Forum Moderator
Joined: 15 Jan 2018
Posts: 734
Concentration: General Management, Finance
GMAT 1: 720 Q50 V37
A is x % more than B. B is y % less than C. If A, B, and C are positiv  [#permalink]

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05 Dec 2019, 20:43
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00:00

Difficulty:

45% (medium)

Question Stats:

67% (02:36) correct 33% (02:25) wrong based on 21 sessions

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A is x % more than B. B is y % less than C. If A, B, and C are positive and A is greater than C, find the relation between x and y.

A. y (1 - x) < x
B. y (1 - x) > x
C. y (1 + x) < x
D. y (1 + x) > x
E. y (x - 1) > x

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Senior Manager
Joined: 16 Feb 2015
Posts: 252
Location: United States
Concentration: Finance, Operations
Re: A is x % more than B. B is y % less than C. If A, B, and C are positiv  [#permalink]

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06 Dec 2019, 00:17
DisciplinedPrep wrote:
A is x % more than B. B is y % less than C. If A, B, and C are positive and A is greater than C, find the relation between x and y.

A. y (1 - x) < x
B. y (1 - x) > x
C. y (1 + x) < x
D. y (1 + x) > x
E. y (x - 1) > x

Let Take values of X=11%, Y=10%

Checking Option C: 0.10 (1 + 0.11)
0.10 (1.11) < 0.11
0.111 < 0.11
which is 11.1% more than X (11%)

Where i am going wrong? Please explain. For me Answer is D.
Intern
Joined: 10 May 2017
Posts: 1
Re: A is x % more than B. B is y % less than C. If A, B, and C are positiv  [#permalink]

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07 Dec 2019, 06:58
Given:
A = (1+x)B, B = (1-y)C and A > C.

From above: A > C, So
(1+x)(1-y)C > C
(1+x)(1-y) > 1, and solving this results y(1+x) < x
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Joined: 20 Dec 2015
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Location: India
Concentration: Operations, Marketing
GMAT 1: 670 Q48 V36
GRE 1: Q157 V157
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WE: Engineering (Manufacturing)
Re: A is x % more than B. B is y % less than C. If A, B, and C are positiv  [#permalink]

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08 Dec 2019, 03:34
1
DisciplinedPrep wrote:
A is x % more than B. B is y % less than C. If A, B, and C are positive and A is greater than C, find the relation between x and y.

A. y (1 - x) < x
B. y (1 - x) > x
C. y (1 + x) < x
D. y (1 + x) > x
E. y (x - 1) > x

Imo C

A=(1+X)B

B=(1-y)C

A=(1+x)(1-y)C

A/C = (1+x)(1-y)
A/C >1 So (1+x)(1-y) >1 or 1-y+x-xy >1

-y+x-xy >0 -y(1+x) > -x

y(1+x) < x

Re: A is x % more than B. B is y % less than C. If A, B, and C are positiv   [#permalink] 08 Dec 2019, 03:34
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