Tara bought a silver coat rack originally priced at $375 but on sale for 20% off. After 12% sales tax, what was the total cost?

The coat rack was originally priced at $375.

The discount is 20% off, so the discount amount is 20/100 * $375 = $<<20/100*375=75>>75.
The sale price is $375 - $75 = $<<375-75=300>>300.
The sales tax is 12/100 * $300 = $<<12/100*300=36>>36.
Thus, the total cost is $300 + $36 = $<<300+36=336>>336. Answer: \boxed{336}.