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.
put at
v. To determine or estimate some quantity to have some value: The forecasters put the price of corn next year at $8 per bushel.