A solution of sugar is obtained by mixing 200 g of its 25% solution and 500 g of its 40% solution (both by mass). The mass percentage of the resulting sugar solution is ______ (Nearest integer). [2023]

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Solution

Q.
A solution of sugar is obtained by mixing 200 g of its 25% solution and 500 g of its 40% solution (both by mass). The mass percentage of the resulting sugar solution is ______ (Nearest integer). [2023]

Ans.
(36)

Total mass of sugar in mixture of 25% of 200 and 40% of 500 g

$Sugar in solution = 0.25 \times 200 + 0.40 \times 500$

$= 50 + 200 = 250 g$

$Total mass of solution = 200 + 500 = 700 g$

$Mass of sugar in solution = \frac{250}{700} \times 100 = 35.7 %$

$\approx 36 %$

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