Let’s calculate the weight percentage using the formula:
\[
\text{Weight \% of urea} = \frac{\text{Weight of urea}}{\text{Total weight of solution}} \times 100
\]
Weight of urea in 200 g of 20\% solution = \( \frac{20}{100} \times 200 = 40 \, g \).
Weight of urea in 400 g of 40\% solution = \( \frac{40}{100} \times 400 = 160 \, g \).
Total weight of urea = 40 + 160 = 200 g.
Total weight of solution = 200 + 400 = 600 g.
Thus, the weight percentage of urea in the resultant solution is:
\[
\text{Weight \%} = \frac{200}{600} \times 100 = 33.33\%
\]