A large delicatessen purchased p pounds of cheese for c dollars per po

Question

Tough and Tricky questions: Word Problems.

A large delicatessen purchased p pounds of cheese for c dollars per pound. If d pounds of the cheese had to be discarded due to spoilage and the delicatessen sold the rest for s dollars per pound, which of the following represents the gross profit on the sale of the purchase? ( gross profit  equals  sales revenue  minus  product cost )

A) (p − d)(s − c)
B) s(p − d) − pc
C) c(p − d) − ds
D) d(s − c) − pc
E) pc − ds

Kudos for a correct  solution .

Source: Chili Hot GMAT

desaichinmay22 · Answer

delicatessen purchased p pounds of cheese for c dollars per pound.
Total cost = pc

quantity sold = (p-d)
Total sales = (p-d)*s

Gross Profit = (p-d)*s-pc

Ans = B

intheend14 · Answer

cost = c dollars * p pounds = cp
revenue = s dollars *(p-d) pounds = s(p-d)
gross profit = revenue - cost = s(p-d) - cp

Choice B

amitshri15 · Answer

Cost price is : p*c
Since d ponds of cheese discarded remaining cheese = p-d
(p-d) pounds cheese sold for s dollar/pound, So Sale Price = s(p-d)
Profit = Sale Price - Cost Price = s(p-d) - pc

Answer is B.

PareshGmat · Answer

Answer = B) s(p − d) − pc

Total cost price = c*p ............... (1)

Wastage = d pounds

Quantity sold = p-d

Selling price per pound = s

Total selling price = s(p-d) ........... (2)

Profit = (2) - (1)

= s(p-d) - cp

Bunuel · Answer

The correct answer is B.

EMPOWERgmatRichC · Answer

Hi Asemonick,

TESTing VALUES actually works really well on this question, but the values that you chose were problematic for a number of reasons:

1) With so many variables, you need 'variety' - ALL of your variables are multiples of 5 and two of them are DUPLICATES.
2) The number 100 tends to be great on 'percent' questions, but is not necessarily best for other types.
3) Smaller numbers tend to be easier to manipulate.

How long would it take you to work through this prompt if you used...
P = 3
C = 10
D = 2
S = 40... although ANY number ABOVE 30 would be fine (so that you actually have a profit).

I'll point out another couple of 'shortcuts' in the answer choices:

1) Notice how certain calculations show up more than once in the answer choices [for example, (p-d), (p)(c) and (d)(s) all appear in more than one answer, so you do NOT need to calculate them over and over - just calculate each one ONCE and then plug in the result wherever the 'term' appears).
2) Three of the answers end up NEGATIVE; as soon as you realize that that's the case, you can STOP working on that answer and eliminate it.

GMAT assassins aren't born, they're made,
Rich

bumpbot · Answer

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A large delicatessen purchased p pounds of cheese for c dollars per po

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