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Math Expert V
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Difficulty:   25% (medium)

Question Stats: 75% (01:47) correct 25% (01:35) wrong based on 1689 sessions

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

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.

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

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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]

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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
##### General Discussion
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1
2
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.

Manager  Joined: 21 Sep 2012
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Re: Stores Land M each sell a certain product at a different  [#permalink]

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2
1
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]

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1
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.

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

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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.

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.

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

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This question can also be solved by organizing the data in a table. Might take a bit longer, but will be more accurate. table follows
Attachments OG13_DS_62.png [ 37.08 KiB | Viewed 8706 times ]

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Originally posted by susheelh on 25 Jun 2017, 06:35.
Last edited by susheelh on 27 Nov 2017, 21:11, edited 1 time in total.
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Posts: 4125
Re: Stores Land M each sell a certain product at a different  [#permalink]

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Top Contributor
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.

Target question: Is the DISCOUNT price at Store M less than the DISCOUNT price at Store L ?

Statement 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.
We don't know the REGULAR PRICES at each store, so we can't determine the DISCOUNTED PRICES.
For example, consider these two conflicting cases:
Case a: REGULAR price at store L = \$10, and REGULAR price at store M = \$100. So, the DISCOUNT price at store L = \$9, and the DISCOUNT price at store M = \$85. In this case, the DISCOUNT price at store L is LESS THAN the DISCOUNT price at store M
Case b: REGULAR price at store L = \$100, and REGULAR price at store M = \$10. So, the DISCOUNT price at store L = \$90, and the DISCOUNT price at store M = \$8.50. In this case, the DISCOUNT price at store L is GREATER THAN the DISCOUNT price at store M
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 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
Once again, since we don't know the REGULAR PRICES at each store, we can't determine the DISCOUNTED PRICES.
For example, consider these two conflicting cases:
Case a: REGULAR price at store L = \$7, and REGULAR price at store M = \$10. So, the DISCOUNT price at store L = \$2, and the DISCOUNT price at store M = \$4. In this case, the DISCOUNT price at store L is LESS THAN the DISCOUNT price at store M
Case b: REGULAR price at store L = \$100, and REGULAR price at store M = \$10. So, the DISCOUNT price at store L = \$95, and the DISCOUNT price at store M = \$4. In this case, the DISCOUNT price at store L is GREATER THAN the DISCOUNT price at store M
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined
At this point, we should recognize that we can use both statements to determine the regular prices at each store, which means we also can determine the discount prices at each store. So, we can answer the target question with certainty (without actually performing the calculation)

ASIDE: for "fun" let's actually perform the necessary calculations.
Combining the statement, we know that, at store L, a 10% discount is equal to \$5
In other words, 10% of the regular price = \$5
Or, we can write: (0.1)(regular price) = \$5
So, the regular price = \$50, which means the DISCOUNT price at store L = \$45

Likewise, at store M, a 15% discount is equal to \$6
In other words, 15% of the regular price = \$6
Or, we can write: (0.15)(regular price) = \$6
So, the regular price = \$40, which means the DISCOUNT price at store M = \$34

At this point, we can see that the DISCOUNT price at store L is GREATER THAN the DISCOUNT price at store M
Since we can answer the target question with certainty, the combined statements are SUFFICIENT

Cheers,
Brent
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GMAT 1: 640 Q48 V28 Re: Stores Land M each sell a certain product at a different  [#permalink]

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Bunuel wrote:

Dear Bunuel between 'L' and 'and' there should be some space, the word "Land" summoned a great deal confusion during the first 10 seconds
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Re: Stores Land M each sell a certain product at a different  [#permalink]

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LevanKhukhunashvili wrote:
Bunuel wrote:

Dear Bunuel between 'L' and 'and' there should be some space, the word "Land" summoned a great deal confusion during the first 10 seconds

Edited, Thank you LevanKhukhunashvili
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Re: Stores Land M each sell a certain product at a different  [#permalink]

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fameatop wrote:
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

1. regular price x ,regular price = y
discounted price 0.9 x , 0.85 y

2. x - 5 & y -6

from 1 & 2 x and y can be found

C is correct Re: Stores Land M each sell a certain product at a different   [#permalink] 26 Jun 2019, 08:09
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