A certain grocery purchased x pounds of produce for p dollar

Answer = A

Weight.................... Cost................. Total
x ............................ p........................ xp

Spoiled:
y................................p.........................yp

Sold
(x-y)..........................s ............................ (x-y)s


Profit = (x-y)s - xp

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)

Given that cost of x pounds of produce for p dollars per pound

Or, Cost of produce = xp

Produce that is sold = x pounds of produce - y pounds that is discarded

Given that, Selling Price is s dollars per pound

So, Selling Price of (x-y) pounds of produce = (x-y)s

Gross Profit = Selling Price - Cost = (x-y)s - xp

Answer: (A)

Difficulty Level: 550

Just as a quick tip, since Profit = Total Revenue - Total Cost

And we know his total cost is xp, we can eliminate 3 answers right away, just by reading the first sentence

Hi All,

While this question is 'thick', it can be solved with note-taking, TESTing VALUES and some basic arithmetic."

We're told that "A certain grocery purchased X pounds of produce for P dollars per pound."

X = 2 pounds of produce
P = 3 dollars per pound (cost)
So (2)(3) = $6 was spent to buy this produce

Next, we're told that "Y pounds of the produce had to be discarded due to spoilage and the grocery sold the rest for S dollars per pound...."

Since we only had 2 pounds of produce to begin with, and we still need to sell some produce.....

Y = 1 pound of produce spoiled
S = 7 dollars per pound (sell price or remaining produce)
So (7)(2-1) = $7 revenue from selling the 'good' produce

We're asked for the GROSS PROFIT on the sale of the produce. $7 - $6 = $1 of gross profit.

While the answer choices look 'thick', they actually have several 'pieces' in common, so you can use that to your advantage (notice how XP and (X-Y) show up several times - you can do each of those calculations ONCE and then plug the result into multiple answers and save some time).

Answer A: (1)(7) - (2)(3) = 7-6 = 1 This IS a match
Answer B: (1)(3) - (1)(7) = negative. Not a match.
Answer C: (4)(1) - 6 = negative. Not a match
Answer D: 6 - 7 = negative. Not a match
Answer E: (1)(4) = 4. Not a match

Final Answer:

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

this is a words to math task
((x-y)*s-x*p)/x*p
Answer is A

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

The total cost = (number of pounds)*(price per pound) = xp;
The total revenue = (number of pounds)*(price per pound) = (x - y)s.

The gross profit = (x - y)s - xp.

Answer: A.

Trick is here that E is a good answer if you believe that spoilage is not part of cost of goods sold and should be out of equation. In fact, I believe that gross profit is revenue minus cost of goods sold and I would put spoilage to the other line

Hi,

I was able to get A, but my first initial reaction was to also subtract yp (price of spoilage and the dollars per pound that was used to purchase it)

Can someone help me realize why this "cost" is not part of the gross profit equation?

Thank you

take any three values which obey the above condition and put those values in options you will get correct answer.

Hello,

X=total quantity
Y=spoiled quantity
P=cost
S=sale

total Revenue=(X-Y)S
total cost= XP

gross profit= (X-Y)S-XP

Solution

Given:

• A certain grocery purchased x pounds of produce for p dollars per pound.
• y pounds of the produce had to be 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 produce.

Approach and Working:

• Cost price =$x * p
• Selling price =$(x-y) * s

o Profit = (x-y) *s – x *p

Hence, the correct answer is option A.

Answer: A

Cost price = x*p
y pounds of the produce had to be discarded due to spoilage
--> Utilized qty = x - y
Selling price = (x - y)*s

--> Profit = SP - CP = (x - y)*s - x*p

IMO Option A

Pls Hit Kudos if you like the solution

total cost = xp
total revenue = (x-p)s

gross profit : (x-p)s - xp

Answer is A.

Cost price \(= xp\)

Grocery left after discard \(= x-y\)

Sales revenue of the rest of the grocery \(= (x-y)s\)

Profit=Sales revenue- cost

\(=(x-y)s-xp \)

The answer is A

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