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Raymond purchased a package of ground beef at a cost of $1.9

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Raymond purchased a package of ground beef at a cost of $1.9 [#permalink] New post 06 Jan 2011, 16:44
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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
[Reveal] Spoiler: OA

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Re: Raymond purchased a package [#permalink] New post 06 Jan 2011, 17:00
Expert's post
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.
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Re: Raymond purchased a package [#permalink] New post 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.

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Re: Raymond purchased a package [#permalink] New post 08 Jan 2011, 20:31
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Expert's post
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
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Re: Raymond purchased a package of ground beef at a cost of $1.9 [#permalink] New post 17 Nov 2013, 08:21
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Re: Raymond purchased a package of ground beef at a cost of $1.9   [#permalink] 17 Nov 2013, 08:21
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