The Trey Co. sells $75,000 of accounts receivable to a factor and receives 90% of the value of the factored accounts less a 15% commission based on the gross amount of factored accounts receivable. After the journal entry to record this factoring transaction is made, Trey Co.'s total assets will be

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Trey Co. sells $75,000 of accounts receivable and receives 90% of this value, which is $67,500. However, a 15% commission on the gross amount ($75,000) equals $11,250. Therefore, Trey Co. actually receives $67,500 - $11,250 = $56,250. Since the accounts receivable decreases by $75,000 and the cash increases by $56,250, the net reduction in total assets is $75,000 - $56,250 = $18,750, which is not an option provided. However, the correct calculation process shows that the intended answer seems to be a mistake in the calculation or options provided. Based on the options given, the closest to the correct process is option C, but it appears there has been a misunderstanding in the calculation for the options provided.