I guess nobody ever answered. To find the cost in terms of original price we multiply by (.80) for the 20% (.20) discount, and then this amount was taxed and 8% (.08) so we paid (.80)C times (1.08) where C is the original cost. So the price paid is (.80)(1.08)C and original cost C is p/(.80)(1.08).
If you have more questions you can try posting them in my new group: