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A merchant named Gaga buys a meat dress for a wholesale price of $33.60, and decides that she wants to make a total profit of 25% on the wholesale price. She wants to set the marked price so that she can offer her best customers a discount of 25% off the marked price, while still making her 25% profit. What should the marked price be?

(A) $48.00
(B) $50.00
(C) $50.40
(D) $52.50
(E) $56.00

(1 + \(M/100\)) * (1-\(D/100\)) = (1 + \(P/100\))
(1 + \(M/100\)) * ( 1 - \(25/100\)) = (1 + \(25/100\))
(1 + \(M/100\)) * \(3/4\) = \(5/4\)
1 + \(M/100\) =\( 5/3\)
\(M/100 \)= \(2/3\) M = 67%
Mark up % 67
1+ \(2/3\) * cost price = marked price = 5/3 * 33.6 = $56
E
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This question doesn't really make sense to me... It never says how many or what percentage are her "best customers" so we have no idea how much we need to increase the sticker price in order to keep the profits at 25%. What if she has 1000 customers and 999 are "favorites and only 1 pays "sticker price?" Well that customer has to make up the rest of the missing price in one purchase. As long as we don't know the ratio of favorite customers to total customers, our price must be infinitely high, so I chose the highest answer...



The way people are solving it I'm guessing you meant she wants to make at least 25% on each sale, not 25% overall from total sales. I guess I see what the question is asking, but I think it's maybe phrased incorrectly?
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75% of MP = 125% of CP

3/4*MP = 5/4 *33.60

MP = 5/3 *33.60

MP = 11.2*5 = $56 (E)

GMATNinja
A merchant named Gaga buys a meat dress for a wholesale price of $33.60, and decides that she wants to make a total profit of 25% on the wholesale price. She wants to set the marked price so that she can offer her best customers a discount of 25% off the marked price, while still making her 25% profit. What should the marked price be?

(A) $48.00
(B) $50.00
(C) $50.40
(D) $52.50
(E) $56.00
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