VR Zone has details about the pricing of three of Intel's Core i3 "Ivy Bridge" desktop processors, you can find it over here. These chips are anticipated to arrive by early June.
The three models in question are the Core i3-3220, Core i3-3225 and the Core i3-3240. Several European online retailers has priced the Core i3-3220 at around €113 (US$149/S$187) which when you remove the European sales tax, is close to the launch price for the Core i3-2100 which was one of the first of Intel's Sandy Bridge Core i3 models.
The Core i3-3225 is priced at around €130 (US$172/S$215), but it's worth remembering that this model comes with Intel HD 4000 graphics and even the Sandy Bridge models with higher-end graphics are priced at a premium compared to their standard counterparts.
Finally the Core i3-3240 is priced at around €132 (US$175/S$218) which is a fair bit cheaper than the currently cheapest Core i5 model which is the Core i5-3450 which is currently priced at around €175, albeit from different resellers. Not everyone needs a native quad core CPU and you do at least get hyper threading with the Core i3's, so for less demanding users, the cost saving might be worth it.