SOLUTION: Martha's millinery sold two evening gowns at the same price. Based on their cost, the store made 25% on one of the gowns and lost 25% on the other. As a result of these transaction

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Question 1124792: Martha's millinery sold two evening gowns at the same price. Based on their cost, the store made 25% on one of the gowns and lost 25% on the other. As a result of these transactions, what was the percentage gain or loss?
A)0%
B)13 1/3% loss
C)6 2/3% loss
D)6 1/4% loss
E)13 1/3% gain

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
one way to do this is make the selling price $100
one gown cost x, and .25x was the gain. Therefore, 1.25 x was the selling price, $100, and the gown cost $80 (gain of $20 was 25%)
one gown cost y, and .25y was the loss. Therefore, 0.75 y was the selling price, $100, and the gown cost $133.33.
The gowns together cost $213.33 and sold for $200. This is a 6.25% loss.
D