1. **Problem Statement:** A company has two investment portfolios, X and Y. Portfolio X has a return of $\frac{3}{5}$ on investment, and Portfolio Y has a return of $\frac{2}{5}$ on investment. The company invests 200000 in Portfolio X and 300000 in Portfolio Y. Find the total return on investment. 2. **Formula:** Total return = (Return rate of X) $\times$ (Investment in X) + (Return rate of Y) $\times$ (Investment in Y) 3. **Calculation:** $$\text{Return from X} = \frac{3}{5} \times 200000 = \frac{3}{5} \times 200000$$ $$\text{Return from Y} = \frac{2}{5} \times 300000 = \frac{2}{5} \times 300000$$ 4. **Simplify each:** $$\frac{3}{5} \times 200000 = 3 \times \frac{200000}{5} = 3 \times 40000 = 120000$$ $$\frac{2}{5} \times 300000 = 2 \times \frac{300000}{5} = 2 \times 60000 = 120000$$ 5. **Add returns:** $$120000 + 120000 = 240000$$ 6. **Answer:** The total return on investment is 240000.