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    Question

    A chemist combines three solutions with active

    ingredient concentrations of 10%, 20%, and 30% in the ratio 2:3:5. If the total volume of the mixture is 600 liters, calculate the concentration of active ingredients in the resulting solution.
    A 15% Correct Answer Incorrect Answer
    B 21% Correct Answer Incorrect Answer
    C 23% Correct Answer Incorrect Answer
    D 25% Correct Answer Incorrect Answer
    E 27% Correct Answer Incorrect Answer

    Solution

    Let the volume of these three solutions be 2x, 3x and 5x. 2x+3x+5x = 600 10x = 600 x = 60 so, the volume of these three solutions are 120, 180 and 300 liters active ingredient in resulting solution = 10% of 120 + 20% of 180 + 30% of 300 = 12+36+90 = 138 Concentration in resulting solution = 138/600 ×100 = 23%

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