This article is about special product prices. If you'd like to read about promo codes and discounts, please follow this link: Promo Codes at CopeCart
Yet, you can set a reduced static price for any of your products by adjusting the checkout template to make it look something like this:
For now, it is not possible to display a reduced product price at the One-Step Checkout.
To make a lower price visible, go to the Product Edit page, select a Checkout form section and proceed to configure a Two-Step Checkout: