It's hard to recommend without hearing them, but Logitech certainly has a good reputation with (relatively) low cost per speakers. From looking at the website, it's clear that this system was built for bass. If that's what you want, go for it!
It's worth knowing that the tweeters (small speakers that make high frequency sounds) are fake on these. To quote from the site, "Small driver (tweeter) on satellite speakers is decorative and non-operational" Based on this, I wouldn't expect them to be particularly clear and detailed sounding, but I bet the average person wouldn't complain about it. That being said, this Logitech is probably about the best you'll get in this price range for a new system.
Here's a rather extreme example of a used system in my area. I know this is far more than you're looking for, but it shows how far you can go in the used market. $25 for a pair of speakers. I'm guessing on the sizes from the photo and listed dimensions, but each speaker has around a 1" tweeter, 3" and 5" mid-range drivers, and a 12" subwoofer. (Total of 8 drivers between the two speaker boxes) all you'd need is an amp ($20 or so) and some speaker wire for $5 and you'll have a totally insane audio system for cheaper than the little Logitech.
In my area, audio systems like these are really cheap and readily available. Smaller systems can be even cheaper, and almost all will sound far better than any normal PC speakers I've heard. Feel free to send me any used systems you find and I'll let you know what I think!