At a price
Definition 1 of 2
Pro Tip 1/3Negotiation Context
Used when describing a hard bargain or tough decision with significant downsides. 
He negotiated the deal, but at a price that cost him his reputation.
Pro Tip 2/3Not Always Financial
The 'price' often refers to non-monetary costs, like time or happiness. 
She finished the project on time, but at a price to her health.
Pro Tip 3/3Personal Sacrifices
Commonly used when personal sacrifices are made for achieving something. 
He got his dream job, but at a price of moving away from his family.