I found the following remarks in a novel published in 1914:
"You're going to live with me now, Philip," said Mr. Carey. "Shall you like that?"
Does "Shall you like that?" mean "Do you like it?"
" No. " Will he like living with her?
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Sesquipedalian101Does "Shall you like that?" mean "Do you like it?"
No. "Will you like that?" Will he like living with her?
When shall is used in the second and third persons, it expresses what some grammarians call "coloured future"; in other words a threat, a promise or something similar. This is not the case in your example. Shall you like that? is incorrect English.
CB