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Senior Manager
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ps: Sale [#permalink] New post 03 Jan 2007, 18:42
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E

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During a sale, the price per pound of raisins was decreased by 40 percent. Simon decides to increase the weight of raisins that he buys so that he spends the same amount on raisins that he would have spent on raisins before the sale. By approximately what percent does Simon increase the weight of the raisins that he buys?

a. 30%
b. 33%
c. 40%
d. 60%
e. 67%
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 [#permalink] New post 03 Jan 2007, 19:17
67%

Say 1 pound costs $100 (initailly)

After decrease

1 pound is 60

So with 40 dollars he can buy 2/3 pound more which is 66.66% = 67

E
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Re: ps: Sale [#permalink] New post 03 Jan 2007, 19:17
AK wrote:
During a sale, the price per pound of raisins was decreased by 40 percent. Simon decides to increase the weight of raisins that he buys so that he spends the same amount on raisins that he would have spent on raisins before the sale. By approximately what percent does Simon increase the weight of the raisins that he buys?

a. 30%
b. 33%
c. 40%
d. 60%
e. 67%


IMO: E
Explanation: Let Initial Price/pound = 10x, and initial Quantity = 10y.
Therefore, the price Simon was planning on paying is 100xy.
Now price/lb = 6x, and he needs to buy zy lbs.
So, 100xy = 6zxy
So, z = 50/3
therefore, n/100 of 10y = zy
or, n/100 of 10 = 50/3
or, n = 166.66= 67% increase..
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Re: ps: Sale [#permalink] New post 03 Jan 2007, 21:07
AK wrote:
During a sale, the price per pound of raisins was decreased by 40 percent. Simon decides to increase the weight of raisins that he buys so that he spends the same amount on raisins that he would have spent on raisins before the sale. By approximately what percent does Simon increase the weight of the raisins that he buys?

a. 30%
b. 33%
c. 40%
d. 60%
e. 67%


Consider the initial price 100, and wieght x

Total price = 100x
Increased weight = y
So
100x = 60 (x+y)
So y=(2/3 ) x

(2/3 )x means 67% increase
Senior Manager
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 [#permalink] New post 05 Jan 2007, 14:45
Cost * Weight = C * W is the same in both cases. Therefore

C * W = 60%C * n%W

n = 1 / 0.60 = 1.66666 (at this point you should see the answer choices and verify that it´s safe to round numbers) => n = 1.67 = 167%, thus Simon has to increase the weight by 167 - 100 % = 67% to spend the same.

E.
  [#permalink] 05 Jan 2007, 14:45
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