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

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Manager
Joined: 07 Jan 2010
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Stores L and M each sell a certain product at a different [#permalink]

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31 Aug 2010, 22:31
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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
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24 Feb 2011, 05:12
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(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"
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Re: OG12 #63 Stores L and M each sell a certain product [#permalink]

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01 Sep 2010, 10:46
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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.
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Re: OG12 #63 Stores L and M each sell a certain product [#permalink]

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

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22 Oct 2011, 15:46
Great explanation from Bunuel. Thank you.
The explanation from OG is very succint. Your explanation definitely helped.
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Re: OG12 #63 Stores L and M each sell a certain product [#permalink]

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

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30 Apr 2015, 07:55
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Re: Stores L and M each sell a certain product at a different   [#permalink] 30 Apr 2015, 07:55
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