Query on business payment by cheque from buyer to an unregistered sole proprietorship firm

Can an unregistered sole proprietor legally receive business payment cheque in his legal name where he uses a trade / trading / fictitious/ assumed name in his business. Let's say his invoice to the buyer appears as the following below: RETAIL INVOICE Invoice no: ............ Date:...................... XYZ co. ( Sole proprietor: Ram Babu ) PAN: ............. Address:............. Phone............. Fax....................... Item particular. Rate. Qty. Amount -- ------ -------- Terms & conditions: 1) payment: by cash/ cheque payment by cheque will favour ' Ram Babu' 2) warranty: 1 year For XYZ co ( sole proprietor ) signature