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The manager of a produce market purchased a quantity of tomatoes for $0.80 per pound. Due to improper handling, 10 percent of the tomatoes, by weight, were ruined and discarded. At what price per pound should the manager sell the remaining tomatoes if she wishes to make a profit on the sale of the tomatoes equal to 8 percent of the cost of the tomatoes.

A. $0.94
B. $0.96
C. $0.98
D. $1.00
E. $1.20

We can let the number of pounds of tomatoes purchased = n

Thus, the cost was 0.8n.

Since 10% were discarded, 0.9n were leftover.

We also need a profit of 0.08 x 0.8n = 0.064n; thus, if we let p = price per pound of the tomatoes, we have:

0.064n = 0.9np - 0.8n

64n = 900np - 800n

64 = 900p - 800

864 = 900p

0.96 = p

Answer: B
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Given: The manager of a produce market purchased a quantity of tomatoes for $0.80 per pound. Due to improper handling, 10 percent of the tomatoes, by weight, were ruined and discarded.

Asked: At what price per pound should the manager sell the remaining tomatoes if she wishes to make a profit on the sale of the tomatoes equal to 8 percent of the cost of the tomatoes.

For every 1 pound of tomatoes : -
Cost = $0.80 per pound
Tomatoes lost = .1 pound
Tomatoes balance = .9 pound

Selling price = ($0.8/.9 )*1.08 = $1.2*$0.8 = $0.96

IMO B
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