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A decorator bought a bolt of defective cloth that he judged

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Manager
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A decorator bought a bolt of defective cloth that he judged [#permalink] New post 18 Apr 2008, 08:03
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. It 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
Manager
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Joined: 02 Mar 2008
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Concentration: Finance, Strategy
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Re: cloth [#permalink] New post 18 Apr 2008, 08:22
proportion of the actually can be used:
2/3:3/4 =8/9
-> cost increases, new cost =9/8*0.8=0.9
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Re: cloth [#permalink] New post 18 Apr 2008, 10:46
0.8 = total cost / 0.75x where x=total length purchased

rearrange to get total = 3/5x

now, new cost per yard is total/(2/3x). plug in amount for total, x cancels out, and you get 9/10, or 0.9
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Re: cloth [#permalink] New post 18 Apr 2008, 12:11
puma wrote:
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. It 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


(3/4)/(2/3) * 0.8 = 9/8 * 8/10 = 0.9
Re: cloth   [#permalink] 18 Apr 2008, 12:11
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A decorator bought a bolt of defective cloth that he judged

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