A solution of sugar is obtained by mixing $200 \mathrm{~g}$ of its $25 \%$ solution and $500 \mathrm{~g}$ of its $40 \%$ solution (both by mass). The mass percentage of the resulting sugar solution is ___________ (Nearest integer)

<p>Let&#39;s first calculate the amount of sugar in each of the solutions :</p> <ol> <li><p>In the 25% sugar solution, the amount of sugar is 25% of 200 g, which equals 50 g.</p> </li> <li><p>In the 40% sugar solution, the amount of sugar is 40% of 500 g, which equals 200 g.</p> </li> </ol> <p>Now, let&#39;s mix these two solutions together:</p> <p>The total amount of sugar in the combined solution is 50 g (from the 25% solution) + 200 g (from the 40% solution) = 250 g.</p> <p>The total weight of the combined solution is 200 g (of the 25% solution) + 500 g (of the 40% solution) = 700 g.</p> <p>Therefore, the mass percentage of sugar in the combined solution is $=\frac{250}{700} \times 100$ = 35.71%</p> <p>Rounding to the nearest integer gives 36%. So, the mass percentage of the resulting sugar solution is 36%.</p>