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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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