The Blue Ray is a trader in home d$$cor items. The firm operates with a mark$-$up of $25\%$ During the month of April $2017$ opening stock was $$80,000,$ and purchases as $$300,000.$ Sales for the period was $$350,000.$ At the end of the month a portion of his stock was stolen. The amount remaining was $$30,000.$ a$)$ What was the value of the closing stock? $(5$ Marks$)$ b$)$ What portion of stock was stolen?