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# 1) A trader bought 45 dozen items for 2700 naira. If 15% of the items got destroyed, what should be the cost per item to make a profit of 265? 2) A woman bought 200 mangoes for 800 naira she discovered that 8 of them got spoilt but then sold the rest at 60 naira per dozen. find the percentage profit or loss?

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45 dozen: 12 x 45 = 540

Destroyed: 15% of 540 = 540 x (15/100) = 81

Remaining: 540 - 81 = 459

A profit of 265 means that 459 items must sell at 2700+265=2965 naira or 2965/459=6.46 naira approximately.

Cost per item = 6.46 or 6.5 naira approximately

Cost = 800 naira

8 spoilt. Remaining = 200 - 8 = 192 OR 16 dozen (12x16=192)

Selling price: 60 naira per dozen = 60 x 16 = 960 naira

Profit made (selling price - cost price) = 960 - 800 = 160 naira. Percent profit = Profit/cost x 100 = 160/800 x 100 = 20%

Percentage profit = 20%

Posted on Oct 12, 2010

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