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# A designer purchased 20 mannequins that each cost an equal amount and

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Status: Preparing for the GMAT
Joined: 02 Nov 2016
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Kudos [?]: 1092 [0], given: 543

Location: Pakistan
GPA: 3.4
A designer purchased 20 mannequins that each cost an equal amount and [#permalink]

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17 Sep 2017, 11:55
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65% (hard)

Question Stats:

39% (01:13) correct 61% (01:02) wrong based on 31 sessions

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A designer purchased 20 mannequins that each cost an equal amount and then sold each one at a constant price. What was the designer’s gross profit on the sale of the 20 mannequins?

(1) If the selling price per mannequin had been double what it was, the gross profit on the total would have been $2400. (2) If the selling price per mannequin had been$2 more, the store's gross profit on the total would have been $440. [Reveal] Spoiler: OA _________________ Official PS Practice Questions Press +1 Kudos if this post is helpful Kudos [?]: 1092 [0], given: 543 Math Expert Joined: 02 Aug 2009 Posts: 5201 Kudos [?]: 5827 [1], given: 117 Re: A designer purchased 20 mannequins that each cost an equal amount and [#permalink] ### Show Tags 17 Sep 2017, 20:13 1 This post received KUDOS Expert's post SajjadAhmad wrote: A designer purchased 20 mannequins that each cost an equal amount and then sold each one at a constant price. What was the designer’s gross profit on the sale of the 20 mannequins? (1) If the selling price per mannequin had been double what it was, the gross profit on the total would have been$2400.
(2) If the selling price per mannequin had been $2 more, the store's gross profit on the total would have been$440.

hi..

let the cost price be x and selling price be y..

so profit will be $$20y-20x=20(y-x)$$
so we require to know y-x
lets see the statements:-

(1) If the selling price per mannequin had been double what it was, the gross profit on the total would have been $2400. SP = 2y.... so profit = 20*2y-20x=40y-20x=20(2y-x)=2400.....2y-x=120.. various possiblities will give different values for y-x.. insuff (2) If the selling price per mannequin had been$2 more, the store's gross profit on the total would have been \$440.
SP = 2+y....
so profit = 20*(2+y)-20x=40+20y-20x=440.....
20y-20x=400...y-x=20
sufficient

B
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

Kudos [?]: 5827 [1], given: 117

Re: A designer purchased 20 mannequins that each cost an equal amount and   [#permalink] 17 Sep 2017, 20:13
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