Joyce's office building was destroyed in a fire $($adjusted basis of $$350,000$; fair market value of $$400,000).$ Of the insurance proceeds of $$360,000$ she receives, Joyce uses $$310,000$ to purchase additional inventory and invests the remaining $$50,000$ in short$-$term certificates of deposit. She received only $$360,000$ because of a co$-$insurance clause in her policy. What is Joyce's recognized gain or loss?

a$.$ $$10,000$ loss

b$.$ $$10,000$ gain

c$.$ $$40,000$ gain

d$.$ $$0$