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

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New post 05 Dec 2019, 20:43
2
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A
B
C
D
E

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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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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New post 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.
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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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New post 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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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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New post 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

C is our answer
GMAT Club Bot
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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