Hello friends
If you don't want it to have any adjustment features. Such as tilting the back etc. Then look for a chair that in description simply has a swivel mechanism on it. That will keep the cost of the chair down. I would also get a chair that has memory foam. It will increase the life of the chair as far as comfort in the padding goes. Also if you get a chair from a local dealer you are more likely to get warranty replacement if you have any problems. Stores like Staples, office depot, walmart. Are not good at warranty replacements if you have any problems such as the cylinder going out on the chair. We sell chairs I can get you a chair for the price you are looking for but you would have to pay shipping if you are outside of IN, MI, KY, IL, OH, or WV. If you are in those states I can set you up with retailer who can get you a great chair for the price you are looking for.
By the way you can go real cheap closer to your $50 or under $50 but it will break or get flat with in a year and you will be buying a new chair. Or hating that one sooner than later. I see it way to often. I would suggest getting something closer to your $125. even just under $100. There are good chairs for that price that will last you a long time and have a good warranty so if anything does break it would be replaced.
Thanks for all friends