Puzzles

A sack of potatoes loses 1% of its water and somehow loses half its weight

You bring home 100kg of potatoes, which are 99% water by weight. You leave them out and they dry slightly, down to 98% water. How much do they weigh now?

Reveal the answer

50kg — half the original weight, from what looks like a tiny 1-point drop in water content. The trick is that the 1kg of non-water 'dry matter' never changes, but it has to go from being 1% of the total to 2% of the total, which means the total weight has to be cut in half. It's a favourite example of how percentages of a shrinking whole can mislead intuition badly.

Standard recreational mathematics accounts, Potato paradox — Popular arithmetic brain teaser

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