put (something) at (some amount of money)
To estimate that something will cost a certain amount of money, especially when that figure is particularly large. The mechanic put the repairs at nearly $700 between parts and labor. Early reports are putting the company's newest smartphone at nearly $1,000.
put something at an amount
to price something at a certain amount of money; to estimate something at a certain figure. I would put the charges at about two hundred dollars. She put the damages at nearly two hundred thousand dollars.