1. ## Gross Profit

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?

Let me break it down to the best of my ability.

A certain grocery purchased x pounds of produce for p dollars per pound.

This tells me to multiply x times p or xp.

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?

So, y pounds discarded means to subtract y from x or (x - y).

The grocery sold the rest for s dollars per pound. I figure that
(x - y) represents THE REST. If so, this leads to (x - y)s or
s(x - y). If my logic is clear, the answer is A, right? If my logic makes no sense, please tell me why.

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

2. ## Re: Gross Profit

Great start! What you have found is cost (xp) and revenue ((x-y)s)

Gross profit = Revenue - Cost

So now you can finish it off.

EDIT: Sorry, you've done that! I didn't read the end properly. Well done!

3. ## Re: Gross Profit Originally Posted by harpazo 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?

Let me break it down to the best of my ability.

A certain grocery purchased x pounds of produce for p dollars per pound.

This tells me to multiply x times p or xp.
To get total cost, yes.

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?

So, y pounds discarded means to subtract y from x or (x - y).
Yes, they solve x- y pounds.

The grocery sold the rest for s dollars per pound. I figure that
(x - y) represents THE REST. If so, this leads to (x - y)s or
s(x - y). If my logic is clear, the answer is A, right? If my logic makes no sense, please tell me why.
Yes, that is correct.

A. (x - y)s - xp
B. (x - y)p - ys
C. (s - p)y - xp
D. xp - ys
E. (x - y)(s - p)
Yes, A is correct. Net sales is (x- y)p and cost was xp so gross product was (x- y)p- ys.

4. ## Re: Gross Profit

Good to know that I got this one right.