Rania contributed equipment worth $$200,000,$ purchased $10$ months ago for $$250,000$ cash and used in her sole proprietorship, to Sand Creek LLC in exchange for a $15$ percent profits and capital interest in the LLC$.$ Rania agreed to guarantee all $$15,000$ of Sand Creek's accounts payable, but she did not guarantee any portion of the $$100,000$ nonrecourse mortgage securing Sand Creek's office building. Other than the accounts payable and mortgage, Sand Creek does not have any liabilities to other creditors.

a$.$ What is Rania's initial tax basis in her LLC interest?

Tax basis