Wally bought a dog. There was a $25\%$ discount because it was a sale day, a $10\%$ further discount off of the result because it was a big dog, and a $5\%$ further discount off of that result because he did not use a credit card. (In other words, the discounts were taken successively. A $\$8$ item would be discounted down to $\$6$, then to $\$5.40$, then to $\$5.13$) He paid $\$1385.10$, which of course included the $8\%$ sales tax.
What was the original price of the dog (before tax and discounts)?)