A solution is obtained by mixing $200g$ of $30$% and $300g$ of $20$% solution by weight. What is the percentage of solute in the final solution?

Calculate the total mass of the solute in the final mixture by adding the solute from both solutions: (30 percent of 200 g) + (20 percent of 300 g) = 60 g + 60 g = 120 g. The total mass of the final solution is 200 g + 300 g = 500 g. The final percentage by weight is (120 g / 500 g) multiplied by 100, which equals 24 percent.

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