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

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Stores L and M each sell a certain product at a different [#permalink] New post 31 Aug 2010, 21:31
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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.
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Re: OG12 #63 Stores L and M each sell a certain product [#permalink] New post 01 Sep 2010, 09:46
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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] New post 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...
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Re: OG DS 63 Percentage [#permalink] New post 24 Feb 2011, 04:12
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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] New post 22 Oct 2011, 14:46
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] New post 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?
Re: OG12 #63 Stores L and M each sell a certain product   [#permalink] 25 Dec 2011, 16:17
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