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Bunuel
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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Bunuel
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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Bunuel
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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