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Because alcohol concentration is measured in terms of volume, the key question in this is: What is the volume of 1kg of sugar syrup? Assuming dissolving the sugar in water doesn't change the total volume much, your liter of sugar syrup weighs 1kg + 800g = 1.8kg. Assuming it was perfectly mixed, the kilogram you added was only 1/1.8 = 0.555... = 55.6% ...

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