"Inexpensive" is pretty limiting. I have great fondness for many of the cartridges listed by others, above. However, when ammo cost is a factor, the popularity of the cartridge is a major factor.
30-06, 270, 243, 308 are all very popular. All will do the job you specify. I am a big fan of the 7-08 but factory ammo tends to be big money for premium hunting rounds.
There are a lot of reasons to choose something like a 7-08 or 30-06 but, all things considered, 243 is hard to beat.
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