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GMATprep2024_2323

Bunuel

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A merchant bought a coat at a wholesale price of $120 and then sold it at a 20 percent discount off the regular price. If the merchant made a 40 percent profit on the wholesale price of the coat, what was the regular retail price of the coat? ­

A. $144
B. $168
C. $192
D. $210
E. $240­
Assuming the regular price to be $x, the item was sold for $0.8x. Given that the merchant made a 40% profit, we have 1.4 * $120 = $0.8x. Solving for x, we find x = (1.4 * 120) / 0.8 = $210.

Answer: D.­
­Thanks, Bunuel. If the merchant made a 40% profit on the sale, wouldn't the price he sold it for be $200? $200 Sale - $120 Cost = $80 Profit. $80 profit on $200 sale = 40% profit margin. 

$200 Sale Price is 20% discount to $250 retail price (not an answer choice). I am confused by the 40% profit point. Isn't proft % usually quoted in % of sale price not % of cost? 
­The profit is calculted on cost price/the wholesale price. 
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profit = sales - cost
0.4x120 = sales - 120
=> sales = 168.


The merchant sold the coat at a 20 percent discount off the regular retail price.

0.8 x regular price =168 => regular price = 210
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Very common word problem type. Express the regular price, sale price, purchase price etc in terms of x when necessary and then it's just a matter of setting up equations:

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