On January 1, a store had inventory of $48,000. January purchases were $46,000 and January sales were $90,000. On February 1 a fire destroyed most of the inventory. The rate of gross profit was 25% of cost. Merchandise with a selling price of $7,500 remained undamaged after the fire. Compute a) the estimate of total inventory at cost, and b) the amount of the fire loss, assuming the store had no insurance coverage.