SOLUTION: Mr. Cutler usually makes a 45% profit on every radio he sells. During a sale, he reduces his margin of profit to 40%, while his sales increase by 10%. What is the ratio of his new

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Question 607306: Mr. Cutler usually makes a 45% profit on every radio he sells. During a sale, he reduces his margin of profit to 40%, while his sales increase by 10%. What is the ratio of his new total profit to the original profit?
A)1:1
B)9:8
C)9:10
D)11:10
E)44:45

Answer by josmiceli(9697) About Me  (Show Source):
You can put this solution on YOUR website!
Let x+ = the number of radios he sells
before the increase in sales, his profit is
+.45x+
After his sales increase,
+.4%2A%28+1+%2B+.1%29%2Ax+=+%28+.4+%2B+.04+%29%2Ax+
+.44x+
The ratio of his new total profit to the original profit
+.44x%2F.45x+=+44%2F45+