1. **Stating the problem:** The annual profits of a transport business are divided between partners A and B in the ratio 3:5. B received 3000 more than A. We need to find the total profit. 2. **Formula and explanation:** If the ratio of profits is 3:5, let the common multiplier be $x$. Then A's profit is $3x$ and B's profit is $5x$. 3. **Using the given information:** B received 3000 more than A, so: $$5x - 3x = 3000$$ 4. **Simplify the equation:** $$2x = 3000$$ 5. **Solve for $x$:** $$x = \frac{3000}{2} = 1500$$ 6. **Calculate individual profits:** - A's profit = $3x = 3 \times 1500 = 4500$ - B's profit = $5x = 5 \times 1500 = 7500$ 7. **Calculate total profit:** $$\text{Total profit} = 4500 + 7500 = 12000$$ **Final answer:** The total profit was 12000.