A flood destroyed a company$$s warehouse contents on September $12.$ The following information was the only information that was salvaged:

Inventory, beginning: $$29,100$

Purchases for the period: $$18,100$

Sales for the period: $$56,100$

Sales returns for the period: $$810$

The company's average gross profit ratio is $29\%.$ What is the estimated cost of the lost inventory using the gross profit method?

Multiple Choice

$$46,200\mathrm{.}00.$

$$31,165\mathrm{.}90.$

$$47,200\mathrm{.}00.$

$$7,944\mathrm{.}10.$

$$33,512\mathrm{.}00.$