It is currently 13 Dec 2017, 16:44

# Decision(s) Day!:

CHAT Rooms | Ross R1 | Kellogg R1 | Darden R1 | Tepper R1

### 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

# Stores L and M each sell a certain product at a different

Author Message
TAGS:

### Hide Tags

Manager
Joined: 07 Jan 2010
Posts: 143

Kudos [?]: 97 [1], given: 57

Location: So. CA
WE 1: 2 IT
WE 2: 4 Software Analyst
Stores L and M each sell a certain product at a different [#permalink]

### Show Tags

31 Aug 2010, 21:31
1
KUDOS
10
This post was
BOOKMARKED
00:00

Difficulty:

15% (low)

Question Stats:

76% (01:09) correct 24% (01:04) wrong based on 343 sessions

### HideShow timer Statistics

Stores L and M each sell a certain product at a different regular price. If both stores discount their regular price of the product, is the discount price at Store M less than the discount price at Store L ?

(1) At Store L the discount price is 10 percent less than the regular price; at Store M the discount price is 15 percent less than the regular price.
(2) At Store L the discount price is $5 less than the regular store price; at Store M the discount price is$6 less than the regular price.
[Reveal] Spoiler: OA

Kudos [?]: 97 [1], given: 57

Math Expert
Joined: 02 Sep 2009
Posts: 42583

Kudos [?]: 135543 [3], given: 12697

Re: OG12 #63 Stores L and M each sell a certain product [#permalink]

### Show Tags

01 Sep 2010, 09:46
3
KUDOS
Expert's post
2
This post was
BOOKMARKED
Stores L and M each sell a certain product at a different regular price. If both stores discount their regular price of the product, is the discount price at Store M less than the discount price at Store L ?

Let the regular price of a certain product at store L be $$x$$ and the regular price of a certain product at store L be $$y$$.

If the rates of discounts were $$s$$ and $$t$$ then the prices would become: $$x(1-s)$$) and $$y(1-t)$$. Question: is $$x(1-s)>y(1-t)$$.

(1) At Store L the discount price is 10 percent less than the regular price; at Store M the discount price is 15 percent less than the regular price --> $$s=0.1$$ and $$t=0.15$$ --> no info about the initial prices - $$x$$ and $$y$$, hence not sufficient.

(2) At Store L the discount price is $5 less than the regular store price; at Store M the discount price is$6 less than the regular price --> $$x(1-s)=x-5$$ and $$y(1-t)=y-6$$. Not sufficient.

(1)+(2) As from (1) $$s=0.1$$ and from (2) $$x(1-s)=x-5$$ then $$0.9x=x-5$$, $$x=50$$ and similarly as from (1) $$t=0.15$$ and from (2) $$y(1-t)=y-6$$ then $$0.85y=y-6$$, $$y=40$$ --> we have all information needed. Sufficient. ($$x(1-s)=45>34=y(1-t)$$).

_________________

Kudos [?]: 135543 [3], given: 12697

Manager
Joined: 07 Jan 2010
Posts: 143

Kudos [?]: 97 [0], given: 57

Location: So. CA
WE 1: 2 IT
WE 2: 4 Software Analyst
Re: OG12 #63 Stores L and M each sell a certain product [#permalink]

### Show Tags

01 Sep 2010, 10:39
+1 for you Bunuel, originally i thought the regular price cld not be determined, so i picked E. But it looks like with the eqn you've setup, you were able to solve for the reg price, very nice...

Kudos [?]: 97 [0], given: 57

Math Forum Moderator
Joined: 20 Dec 2010
Posts: 1949

Kudos [?]: 2137 [4], given: 376

Re: OG DS 63 Percentage [#permalink]

### Show Tags

24 Feb 2011, 04:12
4
KUDOS
(1)
Product Price @ L= 100
After Discount = 90
Product Price @ M= 100
After Discount = 85
M's Price after Discount < L's price after discount.

Product Price @ L= 50
After Discount = 45
Product Price @ M= 100
After Discount = 85
L's Price after Discount < M's price after discount.

Not Sufficient.

(2)
Product Price @ L= 100
After Discount = 95
Product Price @ M= 100
After Discount = 94
M's Price after Discount < L's price after discount.

Product Price @ L= 50
After Discount = 45
Product Price @ M= 100
After Discount = 94
L's Price after Discount < M's price after discount.

Not Sufficient.

Combing both;
5 = 0.1L; L=50; After discount: 45
6 = 0.15M; M=40; After discount: 34
M's price after discount < L's price after discount.

Sufficient.

Ans: "C"
_________________

Kudos [?]: 2137 [4], given: 376

Manager
Joined: 05 Oct 2011
Posts: 169

Kudos [?]: 55 [0], given: 62

Re: OG12 #63 Stores L and M each sell a certain product [#permalink]

### Show Tags

22 Oct 2011, 14:46
Great explanation from Bunuel. Thank you.
The explanation from OG is very succint. Your explanation definitely helped.

Kudos [?]: 55 [0], given: 62

Intern
Joined: 10 May 2011
Posts: 27

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

Re: OG12 #63 Stores L and M each sell a certain product [#permalink]

### Show Tags

25 Dec 2011, 16:17
Bunuel wrote:
Stores L and M each sell a certain product at a different regular price. If both stores discount their regular price of the product, is the discount price at Store M less than the discount price at Store L ?

Let the regular price of a certain product at store L be $$x$$ and the regular price of a certain product at store L be $$y$$.

You mean the regular price of the product at store M is y right?

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

Non-Human User
Joined: 09 Sep 2013
Posts: 14869

Kudos [?]: 287 [0], given: 0

Re: Stores L and M each sell a certain product at a different [#permalink]

### Show Tags

30 Apr 2015, 06:55
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.
_________________

Kudos [?]: 287 [0], given: 0

Non-Human User
Joined: 09 Sep 2013
Posts: 14869

Kudos [?]: 287 [0], given: 0

Re: Stores L and M each sell a certain product at a different [#permalink]

### Show Tags

10 May 2016, 03:24
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.
_________________

Kudos [?]: 287 [0], given: 0

Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 1939

Kudos [?]: 1017 [1], given: 3

Location: United States (CA)
Re: Stores L and M each sell a certain product at a different [#permalink]

### Show Tags

10 May 2016, 06:52
1
KUDOS
Expert's post
gtr022001 wrote:
Stores L and M each sell a certain product at a different regular price. If both stores discount their regular price of the product, is the discount price at Store M less than the discount price at Store L ?

(1) At Store L the discount price is 10 percent less than the regular price; at Store M the discount price is 15 percent less than the regular price.
(2) At Store L the discount price is $5 less than the regular store price; at Store M the discount price is$6 less than the regular price.

Solution:

We are given that stores L and M sell a certain product at different regular prices. We are also given that both of these stores discount the regular price of the product. We must determine whether the discount price at Store M is less than the discount price at Store L.

Statement One Alone:

At store L the discount price is 10 percent less than the regular price; at store M the discount price is 15 percent less than the regular price.

Even though we know the percent discount at each store, without actually knowing the regular price of the product at each store, we can’t determine the discount price of the product in each store. Thus, we can’t compare their discount prices. Statement one alone is not sufficient to answer the question. We can eliminate answer choices A and D.

Statement Two Alone:

At store L the discount price is $5 less than the regular store price; at store M the discount price is$6 less than the regular price.

Even though we know the amount of discount at each store, without actually knowing the regular price of the product at each store, we still can’t determine the discount price of the product in each store. Thus, we can’t compare their discount prices. We can eliminate answer choice B.

Statements One and Two Together:

From statements one and two we have the following information:

a) At store L the percent discount is 10% and the amount of discount is $5. b) At store M the percent discount is 15% and the amount of discount is$6.

Now if we let p = the regular price of the product at store L and q = the regular price of the product at store M. Then:
a) 0.10p = 5
b) 0.15q = 6

Thus p = 5/.10 = $50 and q = 6/.15 =$40. Furthermore, the discount price of the product at store L is 50 – 5 = $45 and the discount price of the same product at store M is 40 – 6 =$34. Thus, we know that the discount price at store M is indeed less than the discount price at store L.

_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Kudos [?]: 1017 [1], given: 3

Non-Human User
Joined: 09 Sep 2013
Posts: 14869

Kudos [?]: 287 [0], given: 0

Re: Stores L and M each sell a certain product at a different [#permalink]

### Show Tags

23 Jun 2017, 16:20
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.
_________________

Kudos [?]: 287 [0], given: 0

VP
Status: Learning
Joined: 20 Dec 2015
Posts: 1088

Kudos [?]: 89 [0], given: 570

Location: India
Concentration: Operations, Marketing
GMAT 1: 670 Q48 V36
GRE 1: 314 Q157 V157
GPA: 3.4
WE: Manufacturing and Production (Manufacturing)
Re: Stores L and M each sell a certain product at a different [#permalink]

### Show Tags

24 Jun 2017, 04:08
Imo C
from 1 Discount price of L =0.9x and Discount price of of M=0.15y not sufficient as we don not have relation between x and y.
from 2 Discount price of L =x-5 and Discount price of of M=y-6 not sufficient again
Taking together we have 0.9x=x-5 , X=50 and 0.15y=6 , y=4
yes discount price of m is less than l
_________________

We are more often frightened than hurt; and we suffer more from imagination than from reality

Kudos [?]: 89 [0], given: 570

Re: Stores L and M each sell a certain product at a different   [#permalink] 24 Jun 2017, 04:08
Display posts from previous: Sort by