A shopkeeper claims to sell rice at cost price, but uses a false weight and gains 25%. For 1 kg, how much rice does he actually give?
800 gm
Selling at cost price but gaining 25% via a false weight means the actual quantity given, x grams, satisfies \(\dfrac{1000-x}{x}\times100 = 25\).
\(1000-x = 0.25x \Rightarrow 1000 = 1.25x \Rightarrow x = 800\).
Hence, the shopkeeper actually gives 800 grams for every claimed 1 kg.
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