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Christina, who is single, purchased $500$ shares of Apple Incorporated $($Nasdaq: AAPL$)$ stock several years ago for $$21,000.$ During her year$-$end tax planning, she decided to sell $250$ shares of Apple for $$9,250$ on December $30.$ However, two weeks later, Apple introduced its latest iPhone, and she decided that she should buy the $250$ shares $($cost of $$9,750)$ of Apple back before prices skyrocket.

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a$.$ What is Christina's deductible loss on the sale of $250$ shares? What is her basis in the $250$ new shares?