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Rather than thinking about the part of the watermelon that is water, think in terms of the part that is not water. This part does not change during the journey.
At the start 1% of the 1000 kg watermelon is not water, that is 10 kg of the watermelon is not water. After the journey this 10 kg of material is 2% of the watermelon since the part that is water is 98%. The problem can thus be reworded to ask, what weight is a watermelon if 2% if it weighs 10 kg?
Suppose the watermelon weighs W pounds then 2% of W is 10, or W(2/100) = 10 so W is 500 kg.
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