SOLUTION: A merchant has three baskets full of oranges. he sells one basket at a loss percentage of 10 and other two baskets at an equal profit. if he makes an overall profit of 2% then what

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Question 763968: A merchant has three baskets full of oranges. he sells one basket at a loss percentage of 10 and other two baskets at an equal profit. if he makes an overall profit of 2% then what was the percentage of profit he made on each baskets.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +c+ = the merchant"s ( cost ) / ( basket )
Let +p+ = profit on 2nd and 3rd baskets
+c+-+.1c+=+.9c+ = selling price for 1st basket
+c+%2B+p+ = selling price for 2nd and 3rd baskets
+.9c+%2B+2%2A%28+c+%2B+p+%29+=+3c+%2B+.02%2A3c+
+.9c+%2B+2c+%2B+2p+=+3c+%2B+.06c+
+2p+=+3.06c+-+2.9c+
+2p+=+.16c+
+p+=+.08c+
1st basket: 10% loss
2nd basket: 8% profit
3rd basket: 8% profit
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check:
suppose each basket costs $10
selling price 1st basket = +10+-+.1%2A10+=+9+
selling price 2nd basket = +10+%2B+.08%2A10+=+10.8+
selling price 3rd basket = +10+%2B+.08%2A10+=+10.8+
+9+%2B+2%2A10.8+=+30.6+
+30.6+%2F+30+=+1.02+
This is a 2% profit
OK