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# A store purchased x pounds of ground beef for p dollars per pound. If

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Math Expert
Joined: 02 Sep 2009
Posts: 58427
A store purchased x pounds of ground beef for p dollars per pound. If  [#permalink]

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02 Jan 2018, 23:47
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Difficulty:

35% (medium)

Question Stats:

70% (01:43) correct 30% (01:44) wrong based on 53 sessions

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A store purchased x pounds of ground beef for p dollars per pound. If y percent of the beef was discarded due to spoilage and the rest was sold for s dollars per pound, which of the following represents the gross profit on the sale of the beef?

A. $$(x - y)s - xp$$

B. $$(x - 100y)s - xp$$

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

D. $$(1 - \frac{y}{100})xs - xp$$

E. $$\frac{1}{100}*(x - y)(s - p)$$

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Joined: 23 Feb 2017
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Re: A store purchased x pounds of ground beef for p dollars per pound. If  [#permalink]

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03 Jan 2018, 01:30
1
Cost Price = xp $Beef left after spoilage = x(1-y/100) pounds Selling price = x(1-y/100)s$

Profit = Selling price - Cost price
= x(1-y/100)s - xp

Ans D
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Re: A store purchased x pounds of ground beef for p dollars per pound. If  [#permalink]

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28 Jun 2019, 02:02
1
Bunuel wrote:
A store purchased x pounds of ground beef for p dollars per pound. If y percent of the beef was discarded due to spoilage and the rest was sold for s dollars per pound, which of the following represents the gross profit on the sale of the beef?

A. $$(x - y)s - xp$$

B. $$(x - 100y)s - xp$$

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

D. $$(1 - \frac{y}{100})xs - xp$$

E. $$\frac{1}{100}*(x - y)(s - p)$$

Total purchased = x
-->Cost price = x*p

y percent of the beef was discarded due to spoilage
--> % discarded = y% of x = y/100*x
--> Remaining Qty = x - xy/100 = x(1 - y/100)
Sold for s $per pound --> Selling price = x(1 - y/100)*s --> Profit = SP - CP = xs(1 - y/100) - xp IMO Option D Pls Hit Kudos if you like the solution e-GMAT Representative Joined: 04 Jan 2015 Posts: 3078 A store purchased x pounds of ground beef for p dollars per pound. If [#permalink] ### Show Tags 28 Jun 2019, 02:11 1 Solution Given: • A store purchased x pounds of ground beef for p dollars per pound. • y percent of the beef was discarded due to spoilage. o And, remaining were sold for s dollars per pound. To find: • The option that correctly represents the gross profit on the sale of the beef. Approach and Working: • Cost price =$x * p
• Selling price =\$(x-$$\frac{xy}{100}$$) * s
o Profit = (x-$$\frac{xy}{100}$$) *s – x *p
o Profit = (1-$$\frac{y}{100}$$) x*s – x *p

Hence, the correct answer is option D.

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A store purchased x pounds of ground beef for p dollars per pound. If   [#permalink] 28 Jun 2019, 02:11
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