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Set up a system of equations. Set the loss equal to L and the gain equal to G. Then ask what you know. You know two things 1) Loss is double Gain, L=2G 2) 10000 minus the loss is 8000, 10000-L = 8000 Therefore L=2000 and G=1000

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Q: In the period of a year an investor lost twice as much as he gained If he originaly had lost 10000 and now has 8000 what amount did he gain and what did he lose?
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