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    If 2 L of water is evaporated on boiling from 8 L of sugar solution containing 4% sugar, find the percentage of sugar in the remaining solution.
    Question

    If 2 L of water is evaporated on boiling from 8 L of sugar solution containing 4% sugar, find the percentage of sugar in the remaining solution.

    A.

    16%

    B.

    163\frac{16}{3}%​

    C.

    15%

    D.

    165\frac{16}{5}%​

    Correct option is B

    Given:

    Initial volume of solution = 8 L

    Sugar concentration = 4%

    Volume of water evaporated = 2 L

    Concept Used:
    Evaporation removes only water, not sugar. So, the amount of sugar remains the same, while the total volume decreases, increasing the concentration.

    Formula Used:

    Percentage of sugar = (Quantity of sugarFinal volume of solution)×100\left(\frac{\text{Quantity of sugar}}{\text{Final volume of solution}}\right) \times 100​​

    Solution:

    Sugar in original solution = 4% of 8 L = 4100×8\frac{4}{100} \times 8​ = 0.32 L

    Final volume of solution = 8 L - 2 L = 6 L

    New percentage of sugar = 0.326×100=163%\frac{0.32}{6} \times 100 = \frac{16}{3}\%

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