RiyaR 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 er 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
Let the bolt = the LCM of 4 and 3 = 12 yards.
Amount judged to be usable = (3/4)(12) = 9 yards.
At a cost of 80 cents per usable yard, the amount paid for the 9 yards judged to be usable = 80*9 = 720 cents.
Actual amount of usable cloth = (2/3)(12) = 8 yards.
Since 720 cents was paid for 8 yards of usable cloth, the actual cost per usable yard = 720/8 = 90 cents.
The correct answer is
B.
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