Prices for items listed on Amazon are controlled by price lists in Brightpearl. A price list is assigned to each integrated marketplace which must be set to the same currency as the Amazon marketplace it is connected to.
It is not possible to update the Brightpearl price from your Amazon listing.
Net or gross
Amazon does not have a concept of net or gross prices, the price you enter is the price the customer pays; the prices synchronized with Amazon are therefore always tax inclusive. If a net price list is synchronized tax will be added to the price. The tax is calculated based on the product tax code in the UK and the company default code for US.
In the UK you should always synchronize gross price lists (tax inclusive). This means that the price you see in Brightpearl is the price displayed on Amazon. It is particularly important where you are listing the item on a foreign currency marketplace. If you synchronize a net price list Brightpearl will still add on VAT using the product tax code.
If a net price list is synchronized from a UK Brightpearl account it can artificially inflate prices on VAT exempt marketplaces:
The price list should be set to the correct currency for that Amazon Marketplace, so you will potentially need to create multiple price lists for your Amazon integration.
When prices get updated
Simply connecting the product and listing does not cause the price to be synchronized. The price is only synchronized if the product record is edited or re-saved.
It is likely that all your product prices are similar to your Amazon listings and you do not need to ensure they match, in which case the price will no doubt be updated in time. But if you would like to make sure they are synchronized today, you can do a mass update by exporting your products and then re-importing them as a product update. This is the same as re-saving a product with no changes.
Out of synch prices
Downloaded orders always use the Amazon listing price, since this is the amount the customer has been charged.