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Quant Review PS 171

Expert replies
by zachlebo » Wed Jul 20, 2011 3:47 pm
A certain grocery purchased x pounds of produce for p dollars per pound. if y pounds of the produce had to be discarded due to spoilage and the grocery sold the rest for s dollars per pound, which of the following represents the gross profit on the sale of the produce?

A) (x-y)s-xp
B) (x-y)p-ys
C) (s-p)y-xp
D) xp-ys
E) (x-y)(s-p)

is attacking this problem using smart numbers easier than algebra?

A
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Source: — Problem Solving |

by Anurag@Gurome » Wed Jul 20, 2011 6:53 pm
zachlebo wrote:A certain grocery purchased x pounds of produce for p dollars per pound. if y pounds of the produce had to be discarded due to spoilage and the grocery sold the rest for s dollars per pound, which of the following represents the gross profit on the sale of the produce?

A) (x-y)s-xp
B) (x-y)p-ys
C) (s-p)y-xp
D) xp-ys
E) (x-y)(s-p)

is attacking this problem using smart numbers easier than algebra?

A

Solution:
Cost of x pounds is px dollars.
y pounds were discarded.
We are therefore left with (x - y) pounds.
Selling price of the above is s(x-y).
Profit is s(x-y) - px.

The correct answer is A.
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by amit2k9 » Thu Jul 21, 2011 1:43 am
yes using smart numbers also this can be done easily.

take x=2,p=1 and y=1,s=4
thus profit = sp-cp = 4-2 = 2

now checking for A we have profit = 2.
A it is.
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by Jeff@TargetTestPrep » Wed Dec 13, 2017 10:46 am
zachlebo wrote:A certain grocery purchased x pounds of produce for p dollars per pound. if y pounds of the produce had to be discarded due to spoilage and the grocery sold the rest for s dollars per pound, which of the following represents the gross profit on the sale of the produce?

A) (x-y)s-xp
B) (x-y)p-ys
C) (s-p)y-xp
D) xp-ys
E) (x-y)(s-p) /quote]

The cost to the grocery was xp dollars. Since y pounds were discarded, x - y was actually sold at a price of s dollars, and thus the revenue earned was s(x - y) dollars.

Thus, the gross profit was s(x - y) - xp dollars.

Answer: A

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