bid

an offer of a price, especailly at an auction.
"several buyers made bids for the Van Gogh sketches"

• an offer to buy the shares of a company in order to gain control of it.
  "a takeover bid"
• an offer to do work or supply goods at a stated price; a tender.
• an attempt or effort to achieve something.
  "an investigation would be carried out in a bid to establish what had happened"
• BRIDGE
  an undertaking by a plater in the auction to make a stated number of tricks with suit as trumps.

"I tried to save her in the desperate bid"