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# If x/y = 2, then (x-y)/y =

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Retired Moderator
Joined: 22 Jun 2014
Posts: 1093
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Concentration: General Management, Technology
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If x/y = 2, then (x-y)/y =  [#permalink]

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15 Dec 2018, 08:40
00:00

Difficulty:

5% (low)

Question Stats:

96% (00:19) correct 4% (00:19) wrong based on 80 sessions

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If $$\frac{x}{y} = 2$$, then $$\frac{(x-y)}{y}$$ =

(A) $$-1$$

(B) $$-\frac{1}{2}$$

(C) $$\frac{1}{2}$$

(D) $$1$$

(E) $$2$$

Project PS Butler : Question #80

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Posts: 299
Re: If x/y = 2, then (x-y)/y =  [#permalink]

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15 Dec 2018, 08:52
[quote="HKD1710"]if $$\frac{x}{y} = 2$$, then $$\frac{(x-y)}{y}$$ =

(A) $$-1$$
(B) $$-\frac{1}{2}$$
(C) $$\frac{1}{2}$$
(D) $$1$$
(E) $$2$$

X/Y = 2,
X - Y /Y = X/ Y - 1

2- 1 = 1

Choice D
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Posts: 3996
Re: If x/y = 2, then (x-y)/y =  [#permalink]

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15 Dec 2018, 09:02
Top Contributor
HKD1710 wrote:
if $$\frac{x}{y} = 2$$, then $$\frac{(x-y)}{y}$$ =

(A) $$-1$$
(B) $$-\frac{1}{2}$$
(C) $$\frac{1}{2}$$
(D) $$1$$
(E) $$2$$

Project PS Butler : Question #80

APPROACH #1: Use the fact that (a - b)/c = a/b - b/c
So, (x - y)/y = x/y - y/y
= x/y - 1
= 2 - 1
= 1

APPROACH #2: Plug in values.
If x/y = 2, then it could be the case that x = 6 and y = 3
So, (x - y)/y = (6 - 3)/3
= 3/3
= 1

Cheers,
Brent
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Joined: 15 Dec 2018
Posts: 1
Re: If x/y = 2, then (x-y)/y =  [#permalink]

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15 Dec 2018, 09:27
x/y = 2.... eqn 1

(x - y)/y = z ... eqn 2

From 1.
x = 2y .... eqn 3

Putting 2 into 3

(2y - y)/y = y/y = z

Therefore, z = 1 (D)

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Posts: 297
Location: United States (AZ)
Concentration: Finance, Healthcare
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GPA: 3.36
Re: If x/y = 2, then (x-y)/y =  [#permalink]

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16 Dec 2018, 16:50
1
GMATPrepNow Also got D but OA is C, any insight?

GMATPrepNow wrote:
HKD1710 wrote:
if $$\frac{x}{y} = 2$$, then $$\frac{(x-y)}{y}$$ =

(A) $$-1$$
(B) $$-\frac{1}{2}$$
(C) $$\frac{1}{2}$$
(D) $$1$$
(E) $$2$$

Project PS Butler : Question #80

APPROACH #1: Use the fact that (a - b)/c = a/b - b/c
So, (x - y)/y = x/y - y/y
= x/y - 1
= 2 - 1
= 1

APPROACH #2: Plug in values.
If x/y = 2, then it could be the case that x = 6 and y = 3
So, (x - y)/y = (6 - 3)/3
= 3/3
= 1

Cheers,
Brent
CEO
Joined: 12 Sep 2015
Posts: 3996
Re: If x/y = 2, then (x-y)/y =  [#permalink]

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16 Dec 2018, 19:16
1
Top Contributor
funsogu wrote:
GMATPrepNow Also got D but OA is C, any insight?

GMATPrepNow wrote:
HKD1710 wrote:
if $$\frac{x}{y} = 2$$, then $$\frac{(x-y)}{y}$$ =

(A) $$-1$$
(B) $$-\frac{1}{2}$$
(C) $$\frac{1}{2}$$
(D) $$1$$
(E) $$2$$

Project PS Butler : Question #80

APPROACH #1: Use the fact that (a - b)/c = a/b - b/c
So, (x - y)/y = x/y - y/y
= x/y - 1
= 2 - 1
= 1

APPROACH #2: Plug in values.
If x/y = 2, then it could be the case that x = 6 and y = 3
So, (x - y)/y = (6 - 3)/3
= 3/3
= 1

Cheers,
Brent

I think the OP may have entered the wrong answer.

Cheers,
Brent
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Posts: 3537
If x/y = 2, then (x-y)/y =  [#permalink]

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16 Dec 2018, 20:34
1
GMATPrepNow wrote:
funsogu wrote:
GMATPrepNow Also got D but OA is C, any insight?

I think the OP may have entered the wrong answer.

Cheers,
Brent

funsogu , GMATPrepNow (Brent)

Edited. Thanks.
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If x/y = 2, then (x-y)/y =   [#permalink] 16 Dec 2018, 20:34
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