A certain store sells a case of milk for x dollars. If the store

Question

A certain store sells a case of milk for x dollars. If the store purchases the milk for y dollars per gallon, how much per gallon does it profit on the milk that it sells?

(1) There are 24 one-gallon cartons of milk in one case

(2) x - 24y = 40

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AVMachine · Answer

Profit = y * q - x ; where, q is quantity in Gallons

1. q = 24; Not Sufficient.

2. x - 24y = 40; An equation is given, but we don't know what this equation is about. Not Sufficient.

1&2; by using 24y - x = Profit; means x - 24y = -ve; means profit would be zero. Sufficient

bekhzod23 · Answer

We need the number of gallons and the Quantity of total sale. 
To the 1 statement, we have the number, not total sale. Insufficient

To the second statement, we have total sale, not the gallons.

So, we mix these statements, we can solve. 
Answer is C.

GMATinsight · Answer

Case of milk selling price = $x
Cost Price of milk per gallon = $y
If there are a gallons in a case

Question: Profit / gallon =  \frac{(x - ay)}{a} ?

We need to know how many gallons come in a case.

Statement 1  : There are 24 one-gallon cartons of milk in one case
so we know the value of a=24
Profit / gallon = (x - 24y)/24
Still we can't answer as we do NOT know the value of x-24y hence
 NOT SUFFICIENT

Statement 2  :x - 24y = 40
We don't know the value of a and this expression in isolation doesn't give us anything hence
 NOT SUFFICIENT

Combining the statements  
(x - 24y)/24 = 40/24 = 5/3
 SUFFICIENT

Answer: Option C

Related Video:  
  https://www.youtube.com/watch?v=uGz1y0HDtr8

Dereno · Answer

The wording of the question has made this question a bit tricky.

Given: Selling Price (SP) of a Case of milk = $ x
Cost price for CP of a gallon of milk = $ y

Profit per gallon = ?

With the given question stem, we can’t relate case with gallon. A case can hold n gallons. So, let’s proceed to the individual statements.

Statement 1:

(1) There are 24 one-gallon cartons of milk in one case

1 case = 24 one gallon cartons.

SP of 24 one gallon carton = $x

SP of 1 gallon carton = $x/24.

profit = SP - CP = x/24 - y

Not Sufficient.

STATEMENT 2: 
  
  (2) x - 24y = 40

Ignoring the statement 1 and seeing statement 2 in isolation. The expression is a mere algebraic representation. Nothing concrete can be derived here. Hence,  Not Sufficient.

let’s combine statements 1 and 2:

profit = SP - CP = x/24 - y  
=  ( x - 24y)/24
= 40/24. By statement 2.

Hence option C.

A certain store sells a case of milk for x dollars. If the store

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GMAT Data Sufficiency (DS) Questions

A certain store sells a case of milk for x dollars. If the store

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