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06 Jan 2011, 16:44
2
8
00:00

Difficulty:

15% (low)

Question Stats:

80% (01:44) correct 20% (02:25) wrong based on 302 sessions

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Raymond purchased a package of ground beef at a cost of $1.98 per pound. If, for the same amount of money, Raymond could have purchased a piece of steak that weighed 40 percent less than the package of ground beef, what was the cost per pound of the steak? A.$4.95
B. $4.20 C.$3.60
D. $3.30 E.$3.10
Math Expert
Joined: 02 Sep 2009
Posts: 52971
Re: Raymond purchased a package  [#permalink]

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06 Jan 2011, 17:00
2
3
ajit257 wrote:
Raymond purchased a package of ground beef at a cost of $1.98 per pound. If, for the same amount of money, Raymond could have purchased a piece of steak that weighed 40 percent less than the package of ground beef, what was the cost per pound of the steak? A.$4.95
B. $4.20 C.$3.60
D. $3.30 E.$3.10

I have a doubt the ans.

Forget about the packages. Basically we are told that $1.98 is enough to buy a piece of steak which is 40% less than 1 pound, so$1.98 is enough to buy 0.6 pounds of steak --> 0.6 pound = $1.98 --> 1 pound =$1.98/0.6 = $3.3. Answer: D. _________________ ##### General Discussion Manager Joined: 03 Nov 2009 Posts: 58 Re: Raymond purchased a package [#permalink] ### Show Tags 07 Jan 2011, 08:50 Always for this kind of a problem(s), the best method is to go by the cross multiplications , If A = B , And C is what ??? A= B , then take C= X, then X = B*C/A SO, 1 Pound of beef =$ 1.98

Then 60% of 1 Pound of Steak (A) = $1.98 (B) Then 100 % of 1 Pound of steak (C) = X So , X =$1.98 *1 Pond of steak / .6Pound of steak

We get $3.30 Ans D. Best Veritas Prep GMAT Instructor Joined: 16 Oct 2010 Posts: 8883 Location: Pune, India Re: Raymond purchased a package [#permalink] ### Show Tags 08 Jan 2011, 20:31 1 ajit257 wrote: Raymond purchased a package of ground beef at a cost of$1.98 per pound. If, for the
same amount of money, Raymond could have purchased a piece of steak that weighed 40
percent less than the package of ground beef, what was the cost per pound of the steak?

A. $4.95 B.$4.20
C. $3.60 D.$3.30
E. $3.10 I have a doubt the ans. Remember, Expense = Price * Quantity If for same Expense, Quantity of Steak is 6/10 of the quantity of ground beef, then price of Steak must be 10/6 of the price of ground beef. (to keep expense same Expense = (10/6)Price * (6/10) Quantity) (10/6)*1.98 = 3.3 _________________ Karishma Veritas Prep GMAT Instructor Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options > Director Joined: 23 Jan 2013 Posts: 556 Schools: Cambridge'16 Re: Raymond purchased a package of ground beef at a cost of$1.9  [#permalink]

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24 May 2015, 03:22
1
1.98x=0.6xy

y=1.98x/0.6x=3.3

D
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10 Aug 2017, 19:23
1
1.98/x = 0.6/1
0.6x = 1.98
x = 3.3
Intern
Joined: 14 Sep 2017
Posts: 33
Location: Italy

### Show Tags

20 Dec 2017, 10:30
ajit257 wrote:
Raymond purchased a package of ground beef at a cost of $1.98 per pound. If, for the same amount of money, Raymond could have purchased a piece of steak that weighed 40 percent less than the package of ground beef, what was the cost per pound of the steak? A.$4.95
B. $4.20 C.$3.60
D. $3.30 E.$3.10[/quote

Fedemaravilla wrote:
I think this answer I bad written. It talks about a package of beef not specifing that how many pounds does it weight. Then it says again 40% less than the package, how can we assume that the package weights 1 pound??

Fedemaravilla , it might seem confusing, but you should not assume the first package weighs one pound. See Bunuel , above

You are dealing with a rate ($$\frac{cost}{pound}$$), not a quantity.

The prompt gives us "cost per [one] pound" for convenience.
But "cost per [one] pound" does not mean there is only one pound.

Suppose the first package weighed two pounds.
The prompt would have told us it cost $3.96. The rest of the question would be the same. What was the cost per pound of the steak? $$\frac{TotalCost}{NumberOfLbs}$$ = Cost per pound The number of pounds changed to a fraction of the original number of pounds 40 percent less than 2 pounds = (.60)(2) = 1.2 pounds The equation for the original rate also must change: From $$\frac{3.96}{2 lb}$$ to $$\frac{3.96}{1.2lbs} = 3.30$$ per pound for steak Similarly, here: $$\frac{1.98}{1lb} = 1.98$$ per pound for ground beef. The number of pounds changed from 1 to 0.6 pounds That changes the original rate The equation also must change to $$\frac{1.98}{.60} = 3.30$$ per pound of steak In short, when you see "cost per pound," you are dealing with a rate, not a quantity. Focus on the rate, and in this case, how the rate gets changed. Hope that helps. _________________ To live is the rarest thing in the world. Most people just exist. Oscar Wilde Non-Human User Joined: 09 Sep 2013 Posts: 9845 Re: Raymond purchased a package of ground beef at a cost of$1.9  [#permalink]

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