jmc

Let the original price of an item be $x$. First, everything is half-off, so the price is now $\frac{x}{2}=0.5x$. Next, the extra coupon applies 20% off on the sale price, so the price after this discount will be $100\%-20\%=80\%$ of what it was before. (Notice how this is not applied to the original price; if it were, the solution would be applying 50% + 20 % = 70% off the original price.) $80\%\cdot 0.5x=\frac{4}{5}\cdot 0.5x=0.4x$ The price of the item after all discounts have been applied is $0.4x=40\%\cdot x$. However, we need to find the percentage off the original price, not the current percentage of the original price. We then subtract $40\%x$ from $100\%x$ (the original price of the item), to find the answer, $\boxed{60}$.