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# A decorator bought a bolt of defective cloth that he judged

Author Message
Manager
Joined: 23 Mar 2008
Posts: 217

Kudos [?]: 194 [0], given: 0

A decorator bought a bolt of defective cloth that he judged [#permalink]

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18 Apr 2008, 09:03
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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

Kudos [?]: 194 [0], given: 0

Manager
Joined: 02 Mar 2008
Posts: 205

Kudos [?]: 51 [0], given: 1

Concentration: Finance, Strategy

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18 Apr 2008, 09:22
proportion of the actually can be used:
2/3:3/4 =8/9
-> cost increases, new cost =9/8*0.8=0.9
B

Kudos [?]: 51 [0], given: 1

SVP
Joined: 28 Dec 2005
Posts: 1549

Kudos [?]: 174 [0], given: 2

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18 Apr 2008, 11:46
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

Kudos [?]: 174 [0], given: 2

VP
Joined: 10 Jun 2007
Posts: 1436

Kudos [?]: 333 [0], given: 0

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18 Apr 2008, 13:11
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

Kudos [?]: 333 [0], given: 0

Re: cloth   [#permalink] 18 Apr 2008, 13:11
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