SOLUTION: A man buy a car at 15/16th of its value and sells it for 10% more than its value. His gain percentage is?

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Question 889896: A man buy a car at 15/16th of its value and sells it for 10% more than its value. His gain percentage is?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +v+ = the value of the car
His selling price as a fraction of what he paid for it is:
+%28%28+1++%2B+.1+%29%2Av+%29+%2F+%28+%28+15%2F16+%29%2Av+%29+
+%28%28+1.1+%29%2Av+%29+%2F+%28%28+15%2F16+%29%2Av+%29+
Multiply top and bottom by +10+
+%28%28+11+%29%2Av+%29+%2F+%28%28+150%2F16+%29%2Av+%29+
Divide top and bottom by +v+
+11+%2F+%28+150%2F16+%29+
+%28+11%2A16+%29+%2F+150+
+176+%2F+150+=+1.17333+
His gain was +.17333+
As a percent this is:
+.17333+%2A+100+=+17.333+ %