If p pounds of beef cost d dollars, how many cents would k pounds of

Question

If p pounds of beef cost d dollars, how many cents would k pounds of beef cost after the price had been reduced by c cents per pound?

A.  (\frac{d - cp}{p})k

B.  (\frac{d - cp}{100p})k

C.  (\frac{d - 100cp}{100p})k

D.  (\frac{100d - cp}{p})k

E.  (\frac{100d - 100cp}{p})k

PS20402

Enchanting · Answer

Cost of p pounds of beef = $ d = 100*d cents.
  Cost of one pound =  \frac{100*d}{p}  cents.
 New cost of each pound =  \frac{100*d}{p} – c = \frac{(100d-cp)}{p}  cents 
 Cost of k pounds =  \frac{(100d-cp)*k}{p}   
Answer:  Option D.

Archit3110 · Answer

$ rate per pound of beef ; d/p 
and in cents ; 100*d/p 
after c cents reduction ; new rate ; 100d/p - c
and for k pounds rate shall be  (\frac{100d - cp}{p})k 
OPTION D

Basshead · Answer

p   pounds = d    dollars

p pounds = 100d cents

Reduction = c * p (c cents multiplied by the number of pounds)

How many cents would k pounds of beef cost after the price had been reduced by c cent per pounds?

( \frac{100d - cp}{p} ) * k

Answer is D.

dave13 · Answer

BrentGMATPrepNow  any idea why these numbers dont work 
D = 2 
P=2 
K=3
C=0.5

BrentGMATPrepNow · Answer

Those numbers work (although c = 0.5 means the price per pound has been reduced by 0.5 cents, which is kind of strange but irrelevant

When we input those values, the answer is 298.5. In other words, k pounds of beef will cost 298.5 cents When we plug the 4 values into each answer choice, only D evaluates to be 298.5

Kinshook · Answer

Asked: If p pounds of beef cost d dollars, how many cents would k pounds of beef cost after the price had been reduced by c cents per pound?

Price per pound of beef = d/p
Price after reduction of c cents per pound = (d/p - c/100)
Price in cents of k pounds of beef after price reduction = k100(d/p - c/100) = k/p (100d - cp)

IMO D

ScottTargetTestPrep · Answer

The price of beef in dollars, per pound, is d/p. In cents, the price per pound is 100d/p. When we reduce the price by c cents per pound, we have:

100d/p - cp/p = (100d - cp)/p

Thus, k pounds costs:

k(100d - cp)/p

Answer: D

sarthak1701 · Answer

Not sure why the numbers approach is not working here.

I took p = 5 and d = $50, so the per-pound cost is $10. Next, I took c = 50 (so half a dollar) and k = 3. If the price per pound is reduced by half, 3 pounds should cost, 3*10/2 = $15. The answer should be 1500 since it is asking in cents but plugging the numbers gives a different figure.

Bunuel · Answer

After the reduction of 50  cents  per pound, or $0.50 per pound, the price would become $9.50, not $5.

sarthak1701 · Answer

Oh shoot, you are right! Thankssss!!

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If p pounds of beef cost d dollars, how many cents would k pounds of

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If p pounds of beef cost d dollars, how many cents would k pounds of

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