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A dress was initially listed at a price that would have given the store ... ...

A dress was initially listed at a price that would have given the store a profit of 20 percent of the wholesale cost. After reducing the asking price by 10 percent, the dress sold for a net profit of 10 dollars. What was the wholesale cost of the dress?
(A)    200
(B) ...
(C) ...
(D) ...
(E) ...

*This question is included in Nova Math - Problem Set X: Word Problems

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A dress was initially listed at a price that would have given the store ... ... 
Posted: 09/27/2013 18:57
I can't seem to get the answer I'm having basic algebra blank. how do you get 125 from C+10/.9=1.2c?
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Posted: 09/27/2013 19:11
Hi Jennifer,

There must be parentheses around the C + 10:

(C + 10)/.9 = 1.2C

Multiplying both sides of this equation by .9 gives

C + 10 = 1.08C (since .9 x 1.2 = 10.8)

Subtracting C from both sides gives

10 = .08C (since 1.08C - 1C = (1.08 - 1)C = .08C)

Finally, dividing both sides by .08 gives

10/.08 = .08C/.08

or

125 = C

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