A clothing store acquired an item at a cost of x dollars and : GMAT Data Sufficiency (DS)
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

 It is currently 24 Jan 2017, 11:23

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# A clothing store acquired an item at a cost of x dollars and

Author Message
TAGS:

### Hide Tags

Manager
Joined: 04 Jun 2008
Posts: 159
Followers: 3

Kudos [?]: 69 [0], given: 0

A clothing store acquired an item at a cost of x dollars and [#permalink]

### Show Tags

06 Aug 2008, 11:12
00:00

Difficulty:

15% (low)

Question Stats:

68% (01:47) correct 32% (01:02) wrong based on 266 sessions

### HideShow timer Statistics

A clothing store acquired an item at a cost of x dollars and sold the item for y dollars. The store’s gross profit from the item was what percent of its cost for the item?

(1) y – x = 20
(2) y / x = 5 / 4

Official Guide 12 Question

 Question: 52 Page: 277 Difficulty: 600

Find All Official Guide Questions

Video Explanations:

OPEN DISCUSSION OF THIS QUESTION IS HERE: a-clothing-store-acquired-an-item-at-a-cost-of-x-dollars-and-139872.html
[Reveal] Spoiler: OA
Intern
Joined: 02 Aug 2008
Posts: 34
Followers: 0

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

Re: A clothing store acquired an item at a cost of x dollars and [#permalink]

### Show Tags

06 Aug 2008, 11:21
chan4312 wrote:
A clothing store acquired an item at a cost of x dollars and sold the item for y dollars. The store’s gross profit from the item was what percent of its cost for the item?
(1) y – x = 20
2) y / x = 5 / 4

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

Stat-1 tells about the profit but does not tell about the original cost. Using 1 and 2 both you get both the value of x and the \$20 profit on it.
Hope I am right.
SVP
Joined: 07 Nov 2007
Posts: 1820
Location: New York
Followers: 34

Kudos [?]: 867 [1] , given: 5

Re: A clothing store acquired an item at a cost of x dollars and [#permalink]

### Show Tags

06 Aug 2008, 11:28
1
KUDOS
chan4312 wrote:
A clothing store acquired an item at a cost of x dollars and sold the item for y dollars. The store’s gross profit from the item was what percent of its cost for the item?
(1) y – x = 20
2) y / x = 5 / 4

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

gross profit = n (y-x)

% = n(y-x)/nx = (y-x) / x

(1) y – x = 20

(y-x) / x = 20/x*100
not suffcieint.. we don't the x

2) suffciient.
(y-x) / x = y/x-1 % = 5/4-1*100

B
_________________

Smiling wins more friends than frowning

Intern
Joined: 02 Aug 2008
Posts: 34
Followers: 0

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

Re: A clothing store acquired an item at a cost of x dollars and [#permalink]

### Show Tags

06 Aug 2008, 11:38
x2suresh wrote:
gross profit = n (y-x)
% = n(y-x)/nx = (y-x) / x
(1) y – x = 20
(y-x) / x = 20/x*100
not suffcieint.. we don't the x
2) suffciient.
(y-x) / x = y/x-1 % = 5/4-1*100
B

sorry....PR told me not to use too much algebra...I guess they were wrong
VP
Joined: 17 Jun 2008
Posts: 1397
Followers: 8

Kudos [?]: 290 [0], given: 0

Re: A clothing store acquired an item at a cost of x dollars and [#permalink]

### Show Tags

06 Aug 2008, 16:20
chan4312 wrote:
A clothing store acquired an item at a cost of x dollars and sold the item for y dollars. The store’s gross profit from the item was what percent of its cost for the item?
(1) y – x = 20
2) y / x = 5 / 4

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

Clearly B

Here the cost price =x selling price=y
gross profit =y-x
gross profit % = (y-x) /x = (y/x)-1 ------->eqn I

Now (1) is INSUFFI since we y-x=20 but no clue about x
(2) is SUFFI we know y/x=5/4

IMO B
_________________

cheers
Its Now Or Never

SVP
Joined: 28 Dec 2005
Posts: 1575
Followers: 3

Kudos [?]: 148 [0], given: 2

Re: A clothing store acquired an item at a cost of x dollars and [#permalink]

### Show Tags

06 Aug 2008, 18:50
B for me as well. We need to find (y-x)/x, or, in other terms, y/x - 1. This relationship is provided in stat 2, but not 1.
Manager
Joined: 08 Sep 2010
Posts: 232
Location: India
WE 1: 6 Year, Telecom(GSM)
Followers: 4

Kudos [?]: 251 [0], given: 21

Re: A clothing store acquired an item at a cost of x dollars and [#permalink]

### Show Tags

26 Oct 2010, 22:38
monirjewel wrote:
A clothing store acquired an item at a cost of x dollars and sold the item for y dollars. The store's gross profit from the item was what percent of its cost for the item?

(1) y-x=20
(2) y/x=5/4

Question requires {(y-x)/x}*100

or {(y/x)-1}*100

we can get this from (2),

_________________

Consider KUDOS if You find it good

Manager
Joined: 24 Jul 2010
Posts: 90
Followers: 3

Kudos [?]: 199 [0], given: 12

Re: A clothing store acquired an item at a cost of x dollars and [#permalink]

### Show Tags

28 Oct 2010, 00:46
The question requires ((y-x)/x)*100

1. From this statement we know that (y-x) = 20 >> (20/x)*100 >> Insufficient

2. From this statement we know that y/x = 5/4 or 5x = 4y >> y = 5/4x >>> Insufficient

Whereas 1 and 2 combined gives us ((y-x)/x)*100 >> ((5/4x - x)/x)*100 = (20/x)*100 >> (5/4x - x)/x = 20/x
>> (1/4x) /x = 20/x >> 1/4 = 20/x >> x = 80
knowing y-x and x we can write ((y-x)/x)*100 as (20/80)*100 >> 25%

Therefore i will go for C !
Manager
Joined: 20 Oct 2011
Posts: 123
Concentration: Sustainability, General Management
GMAT 1: 710 Q49 V38
GPA: 3.98
Followers: 2

Kudos [?]: 29 [0], given: 11

Re: A clothing store acquired an item at a cost of x dollars and [#permalink]

### Show Tags

20 Oct 2011, 11:58
ankitranjan wrote:
monirjewel wrote:
A clothing store acquired an item at a cost of x dollars and sold the item for y dollars. The store's gross profit from the item was what percent of its cost for the item?

(1) y-x=20
(2) y/x=5/4

Question requires {(y-x)/x}*100

or {(y/x)-1}*100

we can get this from (2),

This is my working too. From Rephrasing the original question, it boils down to (Y/X - 1)*100.

So all we really need is Y/X which is provided in B and hence is the answer.
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 13544
Followers: 578

Kudos [?]: 163 [0], given: 0

Re: A clothing store acquired an item at a cost of x dollars and [#permalink]

### Show Tags

27 Oct 2016, 19:52
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Math Expert
Joined: 02 Sep 2009
Posts: 36638
Followers: 7106

Kudos [?]: 93657 [0], given: 10583

Re: A clothing store acquired an item at a cost of x dollars and [#permalink]

### Show Tags

27 Oct 2016, 20:13
chan4312 wrote:
A clothing store acquired an item at a cost of x dollars and sold the item for y dollars. The store’s gross profit from the item was what percent of its cost for the item?

(1) y – x = 20
(2) y / x = 5 / 4

Official Guide 12 Question

 Question: 52 Page: 277 Difficulty: 600

Find All Official Guide Questions

Video Explanations:

A clothing store acquired an item at a cost of x dollars and sold the item for y dollars. The store's gross profit from the item was what percent of its cost for the item?

We need to find the value of $$\frac{y-x}{x}*100=(\frac{y}{x}-\frac{x}{x})*100=(\frac{y}{x}-1)*100$$. So, basically we need to find the value of $$\frac{y}{x}$$.

(1) y - x = 20. We cannot get the desired ratio from this statement. Not sufficient.
(2) y/x = 5/4. Directly gives us the value of $$\frac{y}{x}$$. Sufficient.

OPEN DISCUSSION OF THIS QUESTION IS HERE: a-clothing-store-acquired-an-item-at-a-cost-of-x-dollars-and-139872.html
_________________
Re: A clothing store acquired an item at a cost of x dollars and   [#permalink] 27 Oct 2016, 20:13
Similar topics Replies Last post
Similar
Topics:
An appliance store acquired a refrigerator at a cost of x dollars an 1 25 Apr 2016, 06:49
19 A clothing store acquired an item at a cost of x dollars and 9 01 Oct 2012, 04:14
23 The total cost of producing item X is equal to the sum of it 11 03 Oct 2011, 06:26
29 The total cost of producing item X is equal to the sum of 33 18 Jul 2010, 19:54
13 At a certain store, each notepad costs x dollars and each 9 14 Apr 2008, 23:29
Display posts from previous: Sort by