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.
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