SOLUTION: Hello, i have no idea on how to solve this problem : Mr.santos gained 15%, based on cost, of selling 3/4 of a shipment of textiles. He sold the remainder at a lost of 10% of the

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Question 660908: Hello, i have no idea on how to solve this problem :
Mr.santos gained 15%, based on cost, of selling 3/4 of a shipment of textiles. He sold the remainder at a lost of 10% of the cost. What percent of the cost did he gain on the entire shipment?
Please and thank you.

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Hello, i have no idea on how to solve this problem :
Mr.santos gained 15%, based on cost, of selling 3/4 of a shipment of textiles. He sold the remainder at a lost of 10% of the cost. What percent of the cost did he gain on the entire shipment?
Please and thank you.

Let cost of textiles be C
Then ¾ of shipment cost ¾C, or
Since gain was 15% of ¾ of shipment, then he sold ¾ of shipment for , or

Remainder of shipment = ¼, and cost ¼C, or
Since loss was 10% of ¼ of shipment, then he sold the remaining ¼ for , or

Sale price of entire shipment = , or , or

As cost of entire shipment = C, then gain on entire shipment = , or , or

Gain % on entire shipment = , or ------ -----> , or %

If it's easier for you, you can use real numbers to arrive at the answer. When done, answer should be same as above.

Send comments and “thank-yous” to “D” at MathMadEzy@aol.com

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