I'm not surprised by that, lots of people think percentages are percentage points and vice versa, and also lots of people don't understand the concept of time. You need to phrase it so it's clear you're talking about two different situations.
1. 100 goes down 10% so you have 90.
2. 90 goes up 10% so you have 99.
3. 99 < 100 so you're worse off than you started.
They're picturing it as a single linear equation: 100 - 10 + 10.
1. 100 goes down 10% so you have 90.
2. 90 goes up 10% so you have 99.
3. 99 < 100 so you're worse off than you started.
They're picturing it as a single linear equation: 100 - 10 + 10.
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