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# Armani sells a pair of jeans at a 20% discount, but still

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Senior Manager
Joined: 11 May 2004
Posts: 458
Location: New York
Followers: 1

Kudos [?]: 18 [0], given: 0

Armani sells a pair of jeans at a 20% discount, but still [#permalink]  10 Dec 2005, 19:49
Armani sells a pair of jeans at a 20% discount, but still makes a gross profit of 20% of the cost. What percent of the cost would the gross profit on the item have been if it has been sold without the discount?

20%
40%
50%
60%
75%
SVP
Joined: 05 Apr 2005
Posts: 1731
Followers: 5

Kudos [?]: 39 [0], given: 0

Re: Percents [#permalink]  10 Dec 2005, 20:04
=(100-200/3)/(200/3) = 50%
Director
Joined: 21 Aug 2005
Posts: 793
Followers: 2

Kudos [?]: 10 [0], given: 0

C 50%

Cost = x
Actual = nx
Discounted = 0.8nx
Given -> 0.8nx -x = 0.2x => n = 1.5
We need to find nx - x = 1.5x - x = 0.5 or 50%
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