The Hyosung will only last for about a year. They are extremely poorly designed and use low quality materials. The Ducati is pretty old but much higher quality. I wouldn't buy the Ducati if it had more than 25,000 miles on it. Neither are a good choice, but the Ducati is the better of the 2.
If it is your first bike don't rule out the Kawasaki Ninja 250, you can buy them new for around $4000, they are high quality, easy to ride and have enough power to actually have fun on. My first street bike was a Ninja 250 and riding that thing was a blast. I am tempted to go and buy another one just because of how much fun I had with that thing.
If you already know how to ride you can find any Japanese 600 crotch rocket that is 4 or 5 years old for around $4000. Just about anything that is a Honda, Kawasaki, Suzuki, or Yamaha will be a good buy. Stay away from the Suzuki GSX 500. It is way underpowered and you will want another bike in 6 months, the ninja 250 is actually faster than the Suzuki 500.
