Find all School-related info fast with the new School-Specific MBA Forum

It is currently 24 May 2016, 09:55
GMAT Club Tests

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

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

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Manager
Manager
User avatar
Joined: 07 Jan 2010
Posts: 147
Location: So. CA
WE 1: 2 IT
WE 2: 4 Software Analyst
Followers: 2

Kudos [?]: 48 [0], given: 57

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

Show Tags

New post 31 Aug 2010, 22:31
3
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

75% (02:16) correct 25% (01:11) wrong based on 196 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
2 KUDOS received
Math Forum Moderator
avatar
Joined: 20 Dec 2010
Posts: 2022
Followers: 154

Kudos [?]: 1433 [2] , given: 376

Re: OG DS 63 Percentage [#permalink]

Show Tags

New post 24 Feb 2011, 05:12
2
This post received
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"
_________________

~fluke

GMAT Club Premium Membership - big benefits and savings

Expert Post
1 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 32963
Followers: 5743

Kudos [?]: 70366 [1] , given: 9844

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

Show Tags

New post 01 Sep 2010, 10:46
1
This post received
KUDOS
Expert's post
1
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. (\(x(1-s)=45>34=y(1-t)\)).

Answer: C.
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Manager
Manager
User avatar
Joined: 07 Jan 2010
Posts: 147
Location: So. CA
WE 1: 2 IT
WE 2: 4 Software Analyst
Followers: 2

Kudos [?]: 48 [0], given: 57

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

Show Tags

New post 01 Sep 2010, 11:39
+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...
Manager
Manager
avatar
Joined: 05 Oct 2011
Posts: 171
Followers: 9

Kudos [?]: 46 [0], given: 62

GMAT ToolKit User Reviews Badge
Re: OG12 #63 Stores L and M each sell a certain product [#permalink]

Show Tags

New post 22 Oct 2011, 15:46
Great explanation from Bunuel. Thank you.
The explanation from OG is very succint. Your explanation definitely helped.
Intern
Intern
avatar
Joined: 10 May 2011
Posts: 32
Followers: 0

Kudos [?]: 1 [0], given: 0

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

Show Tags

New post 25 Dec 2011, 17:17
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?
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 9608
Followers: 465

Kudos [?]: 120 [0], given: 0

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

Show Tags

New post 30 Apr 2015, 07:55
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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 9608
Followers: 465

Kudos [?]: 120 [0], given: 0

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

Show Tags

New post 10 May 2016, 04:24
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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Manager
Manager
User avatar
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 73
Location: United States (CA)
Followers: 1

Kudos [?]: 16 [0], given: 0

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

Show Tags

New post 10 May 2016, 07:52
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.

The answer is C.
_________________

Image
Jeffrey Miller
Scott Woodbury-Stewart
Founder and CEO

Re: Stores L and M each sell a certain product at a different   [#permalink] 10 May 2016, 07:52
    Similar topics Author Replies Last post
Similar
Topics:
Experts publish their posts in the topic At a furniture store, each chair sells for the same price an avohden 2 02 Oct 2013, 10:20
Experts publish their posts in the topic Store R and S each discounted their selling prices of a cert summer101 2 11 Jun 2013, 02:04
17 Experts publish their posts in the topic Stores Land M each sell a certain product at a different Bunuel 8 15 Oct 2012, 04:46
2 Experts publish their posts in the topic A certain store sells chairs individually or in sets of 6 TomB 3 18 Apr 2012, 20:52
1 Experts publish their posts in the topic A certain store sells chairs individually or in sets of 6. uvs_mba 6 17 Sep 2006, 14:18
Display posts from previous: Sort by

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

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.