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

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

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New post 17 Sep 2017, 11:55
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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.

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Re: A designer purchased 20 mannequins that each cost an equal amount and  [#permalink]

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New post 17 Sep 2017, 20:13
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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


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3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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