A store has clearance items that have been marked down by 55%. They are having a sale, advertising an additional 60% off clearance items. What percent of the original price do you end up paying?

Call the original price P

A markdown of 55% means it is worth 45% of P

And a markdown of another 60% means it is worth 40% of P(.45)

So

P (.45) ( .40) = .18P

You end up paying 18% of the original price