A meter stick is pivoted at its 50-cm mark but does not balance because of non uniformities in its material that cause its center of gravity to be displaced from its geometrical center. However when weights of 150 and 200 g are placed at the 10-cm and 75-cm marks, respectively, balance is obtained. The weights are then interchanged and balanced again obtained by shifting the pivot point to the 43-cm mark. Find the mass of the meter stick and its location of its center of gravity.