You just discovered why some bike parts cost more than others.
With that being said, there is still a thing or two you can do. The first being to loosen the chain ring bolts, finding the tight spot and then retightening them such that the chainring is a little more concentric to the crank axle. A rubber mallet will help. This may take a few tries as each attempt gets the chain ring a little more centered.
You might also check that your wheel axle isn't bent. This can cause havoc with how the cog on the wheel hub remains concentric to the axle. The combined action of both cog and chainring being off-center can make things quite out of whack.
There are other things that can be done involving hammers, round files, & a lot of finesse to overcome inexpensive component manufacture. I do not recommend them at all except for the most desperate. Try the above suggestions first & report your results.