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A grocery purchased x pounds of tomatoes for p dollars per pound. If y

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A grocery purchased x pounds of tomatoes for p dollars per pound. If y  [#permalink]

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New post 07 Jan 2018, 23:22
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A
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E

Difficulty:

  45% (medium)

Question Stats:

72% (02:45) correct 28% (02:54) wrong based on 36 sessions

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A grocery purchased x pounds of tomatoes for p dollars per pound. If y pounds were initially discarded due to spoilage and later z percent of the remaining amount was also discarded while the rest was sold for s dollars per pound, which of the following represents the gross profit on the sale of the tomatoes?


A. \((x - y - \frac{xz}{100})s -xp\)

B. \((x - 100zx - y)s - xp\)

C. \(\frac{1}{100}(x - y - 100z)s -xp\)

D. \((1 - \frac{z}{100})(x - y)s - xp\)

E. \(\frac{1}{100}(x - yz -xz)(s - p)\)

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Re: A grocery purchased x pounds of tomatoes for p dollars per pound. If y  [#permalink]

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New post 07 Jan 2018, 23:52
Bunuel wrote:
A grocery purchased x pounds of tomatoes for p dollars per pound. If y pounds were initially discarded due to spoilage and later z percent of the remaining amount was also discarded while the rest was sold for s dollars per pound, which of the following represents the gross profit on the sale of the tomatoes?


A. \((x - y - \frac{xz}{100})s -xp\)

B. \((x - 100zx - y)s - xp\)

C. \(\frac{1}{100}(x - y - 100z)s -xp\)

D. \((1 - \frac{z}{100})(x - y)s - xp\)

E. \(\frac{1}{100}(x - yz -xz)(s - p)\)



Cost of tomatoes = x*p

Pounds left after discarding first time = x-y, now out of these z percent discarded again. Or the amount discarded out of x-y = z/100 * (x-y)

So amount finally left after discarding = (1 - z/100)*(x-y).
This is sold for s dollars per pound, so the Selling Price = (1 - z/100)*(x-y)*s

So Gross Profit = Selling price - Cost price = (1 - z/100)*(x-y)*s - x*p

Hence D answer
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Re: A grocery purchased x pounds of tomatoes for p dollars per pound. If y  [#permalink]

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New post 26 Mar 2019, 15:57
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Re: A grocery purchased x pounds of tomatoes for p dollars per pound. If y   [#permalink] 26 Mar 2019, 15:57
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