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If a store owner sold a designer dress for $600, she would make a 20%

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If a store owner sold a designer dress for $600, she would make a 20%  [#permalink]

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New post 11 Aug 2019, 05:50
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Re: If a store owner sold a designer dress for $600, she would make a 20%  [#permalink]

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New post 11 Aug 2019, 05:55
(600/1.2) x 0.6 = 300. Hence (A)

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Re: If a store owner sold a designer dress for $600, she would make a 20%  [#permalink]

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New post 11 Aug 2019, 05:56
Bunuel wrote:
If a store owner sold a designer dress for $600, she would make a 20% profit. Instead, she sold it for a 40% loss. At what price was the dress sold?

(A) $300
(B) $315
(C) $372
(D) $400
(E) $440


Let x be C.P.

Now,

600 = x * (120/100); we have to find what is => x * (60/100);

So x * (60/100) is half of x * (120/100)

Final S.P. is 300
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Re: If a store owner sold a designer dress for $600, she would make a 20%  [#permalink]

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New post 11 Aug 2019, 07:58
Bunuel wrote:
If a store owner sold a designer dress for $600, she would make a 20% profit. Instead, she sold it for a 40% loss. At what price was the dress sold?

(A) $300
(B) $315
(C) $372
(D) $400
(E) $440


Given: If a store owner sold a designer dress for $600, she would make a 20% profit. Instead, she sold it for a 40% loss.

Asked: At what price was the dress sold?

If a store owner sold a designer dress for $600, she would make a 20% profit.
Cost price = $600 / 1.2 = $500

she sold it for a 40% loss.
Selling price = $500 * (1-40%) = $300

IMO A
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Re: If a store owner sold a designer dress for $600, she would make a 20%  [#permalink]

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New post 11 Aug 2019, 10:50
Bunuel wrote:
If a store owner sold a designer dress for $600, she would make a 20% profit. Instead, she sold it for a 40% loss. At what price was the dress sold?

(A) $300
(B) $315
(C) $372
(D) $400
(E) $440


first find CP ; 600/1.2 = 500$
now dress is sold at loss of 40% ; 400*.6 ; 300$
IMO A
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Re: If a store owner sold a designer dress for $600, she would make a 20%  [#permalink]

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New post 14 Aug 2019, 17:39
Bunuel wrote:
If a store owner sold a designer dress for $600, she would make a 20% profit. Instead, she sold it for a 40% loss. At what price was the dress sold?

(A) $300
(B) $315
(C) $372
(D) $400
(E) $440



Letting C = the cost of the dress, we can create the equation:

600 - C = 0.2C

600 = 1.2C

500 = C

Let R = the price at which she sold the dress. Since it was sold at a 40% loss:

R - 500 = -0.4(500)

R - 500 = -200

R = 300

Answer: A
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Re: If a store owner sold a designer dress for $600, she would make a 20%   [#permalink] 14 Aug 2019, 17:39
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