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A stock loses $10\%$ of its value on Monday. On Tuesday it loses $20\%$ of the value it had at the end of the day on Monday. What is the overall percent loss in value from the beginning of Monday to the end of Tuesday? Enter the answer as a percent.

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Before: $100$%
After first loss: $90$%
After second loss: $90*(\frac{100-20}{100})=72$%
In total, the stock lost $100-72=\boxed{28}$%

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