Becky sets up a hot dog stand in her busy neighborhood and purchases x

Question

Becky sets up a hot dog stand in her busy neighborhood and purchases x pounds of hot dogs for p dollars per pound. If she has to throw away s pounds of hot dogs due to spoilage and she sells the rest of the hot dogs for d dollars per pound, which of the following represents the net profit on the sale of the hot dogs?

(A) (x – s)p – sd
(B) xp – (xd – sd)
(C) xd – sp
(D) (x – s)d – xp
(E) (s – p)d – xp

Kudos for a correct solution.

(A) (x – s)p – sd
(B) xp – (xd – sd)
(C) xd – sp
(D) (x – s)d – xp
(E) (s – p)d – xp

Kudos for a correct  solution .

littlewarthog · Answer

Answer D:

The amount of hotdogs she can sell is x-s. The price per pound is d, so the revenue is (x-s)d. The total costs are x time p, so the profit is (x-s)d-xp.

PareshGmat · Answer

aNSWER = (D) (x – s)d – xp

................ Quantity ................... Price .................. Net

Original ......... x .............................. p ..................... xp (Cost Price)

Waste ........... s ............................... p ..................... sp (This is already included in above; not required for calculation)

Good .......... (x-s) ......................... d ............................. (x-s)d

Profit = (x-s)d - xp

DesiGmat · Answer

Here we go -

Expenditure - xp
Revenue - (x-s)d (as s pounds are wasted)

Profit = Revenue - Expenditure -> (x-s)d - xp

Option D.

Bunuel · Answer

OFFICIAL SOLUTION:

D. If you want to go to business school, this is a good problem to know how to solve.

profit = gross – costs

To use the formula for profit, you need to know how to figure out Becky’s gross earnings:
Becky’s gross equals the pounds of hot dogs she sold times the selling cost per pound.

The pounds of hot dogs sold is represented by x (the number of pounds she bought) minus s (the number she threw out). The price per pound at which she sold the hot dogs is d. So you can find Becky’s gross earnings using this formula:
Becky’s gross = (x – s)d

Becky’s costs represent how much she paid for all the pounds of hot dogs. The costs equal the amount of hot dogs she bought times the buying cost per pound. So the formula for how much she spent for the hot dogs looks like this:
Becky’s costs = xp

Input the formulas for Becky’s gross and costs into the formula for profit, which gives you this: profit = (x – s)d – xp.

The answer is D.

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Becky sets up a hot dog stand in her busy neighborhood and purchases x

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Becky sets up a hot dog stand in her busy neighborhood and purchases x

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