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The inventory of Bramble's Merchandise Company was destroyed by fire on June $1.$ From an examination of the accounting records, the following data for the first five months of the year were obtained: Sales $$97,000$; Sales Returns and Allowances $$1,500$; Sales Discounts $$800$; Delivery Expense $$2,500$; Purchases $$52,000$; Freight In $$2,700$; Purchase Returns and Allowances $$2,900$; and Purchase Discounts $$1,300.$

Determine the inventory lost by fire, assuming a beginning inventory of $$25,200$ and a gross profit margin of $40\%.$

Inventory lost by fire

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