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# Stores Land M each sell a certain product at a different

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Stores Land M each sell a certain product at a different [#permalink]  15 Oct 2012, 03:46
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The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

Stores Land 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.

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Question: 62
Page: 280
Difficulty: 600

GMAT Club is introducing a new project: The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

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Re: Stores Land M each sell a certain product at a different [#permalink]  15 Oct 2012, 03:47
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SOLUTION

Stores Land 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.

Each statement is clearly insufficient to answer the question.

When we consider the statements together we have that 10% of regular price at store L corresponds to $5 and 15% of regular price at store M corresponds to$6. We can find regular prices, and discounted prices, thus answer the question. Sufficient.

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Re: Stores Land M each sell a certain product at a different [#permalink]  15 Oct 2012, 04:18
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Let the regular price at store L is 100L & at store M is 100M
1) Discounted price at L = 90L
Discounted price at store M = 85M
But still we don't the respective value of L & M --->Insufficient

2) Discounted price at L = 100L - 5
Discounted price at M = 100M - 6
But still we don't the respective value of L & M --->Insufficient

1+2) 10L = 5 & 15M = 6
We can get the respective value of L & M --->Sufficient
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Re: Stores Land M each sell a certain product at a different [#permalink]  15 Oct 2012, 08:10
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1) If Store L's cost is 10000000000000$and store M's cost is 10$, after the discounts Store L would be more expensive. If the case is vice versa, store M would be more expensive.

2) Again, If Store L's cost is 10000000000000$and store M's cost is 10$, after the deductions Store L would be more expensive. If the case is vice versa, store M would be more expensive.

Both statements together.
A 10% discount = 5$in store L. A 15 % discount = 6$ in store M.
So the prices before discount and the discounted prices for both stores can be found.

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Re: Stores Land M each sell a certain product at a different [#permalink]  16 Oct 2012, 05:02
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discount at store M < discount at store L ?

statement 1

L-0.10L=0.90L
M-0.15M=0.85M

statement 2

L-5
M-6 again insufficient

combining both

L-5=0.90L
M-6=0.85 M 2 equations 2 unknowns sufficient

0.15M = 6 >>> M=6/.15 = 40 therefore 40-6 = 34

0.1L = 5 >>> L=5/.1 = 50 therefore 50-5 = 45

34<45

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Re: Stores Land M each sell a certain product at a different [#permalink]  16 Oct 2012, 06:43
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Statment 1 gives us the % difference between regular and discounted prices for each store. But clearly not sufficient information to find out difference in discounted prices.

Statment 2 gives us the absolute difference between regular and discounted prices for each store. But clearly not sufficient information to find out difference in discounted prices.

However combining statement 1 and 2,we know that 10% corresponds to $5 for store 1 and 15% corresponds to$6 for store 2. With this we can find out regular price and therefore the discounted prices for each. Hence sufficient.

Ans C

Bunuel wrote:
The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

Stores Land 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.

Practice Questions
Question: 62
Page: 280
Difficulty: 600

GMAT Club is introducing a new project: The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide for GMAT® Review, 13th Edition and then after couple of days we'll provide Official Answer (OA) to them along with a solution.

We'll be glad if you participate in development of this project:
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!

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Math Expert
Joined: 02 Sep 2009
Posts: 28287
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Kudos [?]: 45317 [0], given: 6647

Re: Stores Land M each sell a certain product at a different [#permalink]  19 Oct 2012, 04:20
Expert's post
SOLUTION

Stores Land 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.

Each statement is clearly insufficient to answer the question.

When we consider the statements together we have that 10% of regular price at store L corresponds to $5 and 15% of regular price at store M corresponds to$6. We can find regular prices, and discounted prices, thus answer the question. Sufficient.

Kudos points given to everyone with correct solution. Let me know if I missed someone.
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Re: Stores Land M each sell a certain product at a different [#permalink]  21 Jun 2014, 10:00
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Re: Stores Land M each sell a certain product at a different   [#permalink] 21 Jun 2014, 10:00
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