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A decorator bought a bolt of defective cloth that he judged

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Manager
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Joined: 19 Aug 2006
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A decorator bought a bolt of defective cloth that he judged [#permalink] New post 06 Oct 2006, 23:21
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A decorator bought a bolt of defective cloth that he judged to be 3/4 usable, in which case the cost would be $0.80 per usable yard . If it was later found that only 2/3 of the bolt could be used ,what was the actual cost per usable yard?
A. $0.60
B $0.90
C $1.00
D $1.20
E $1.70

Plese explain.

Thank you
VP
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Joined: 21 Mar 2006
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 [#permalink] New post 06 Oct 2006, 23:36
Ans: B

Explanation: Plug in numbers

3/4 and 2/3 so pick 12 as the number of yards of cloth bought.

Bought: 12 Usable:(3/4)*12=9 yards Cost/yard: 0.8 Total Cost: 9*0.8=7.2
Bought: 12 Usable:(2/3)*12=8 yards Cost/Yard: X Total Cost: 7.2

X = (Total cost/No. of usable yards) = 7.2/8 = 0.9.
Senior Manager
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 [#permalink] New post 07 Oct 2006, 10:33
90

need to work out 2/3 as a proportion of 3/4

(3/4)*x=2/3
x = 2/3 * 4/3
x = 8/9

8/9 of orig 80 spent useful therefore we paid equiv of 9/8 * 80 = 90
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 [#permalink] New post 07 Oct 2006, 11:42
A decorator bought a bolt of defective cloth that he judged to be 3/4 usable, in which case the cost would be $0.80 per usable yard . If it was later found that only 2/3 of the bolt could be used ,what was the actual cost per usable yard?
A. $0.60 B $0.90 C $1.00 D $1.20 E $1.70

original asumption cost = 3/4 x *0.8= 0.6x

actual cost per usable = total cost / usable = 0.6x/(2/3x) = 0.9

my answer is b
  [#permalink] 07 Oct 2006, 11:42
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