SOLUTION: Rama buys a T.V at 20% discount of its value and sold it for 20% more than its value . Her profit percentage is?

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Question 877374: Rama buys a T.V at 20% discount of its value and sold it for 20% more than its value . Her profit percentage is?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The profit percentage would be:
( selling price - cost of TV ) / ( cost of TV )
Let +x+ = cost of TV
She bought it for +x+-+.2x+=+.8x+
She sold it for +x+%2B+.2x+=+1.2x+
-------------------------------
profit % = +%28+1.2x+-+.8x+%29+%2F+.8x+
Divide top and bottom by +x+
+%28+1.2+-+.8+%29+%2F+.8+=+.4%2F.8+
+.4%2F.8+=+.5+
profit % = 50%