Choice B is the best answer. In the last paragraph of the passage, Mr. Peters is described as being unaware "that there had been any change" in his appearance since he was younger (lines 80-81,"Apparently...tie"). Later in the paragraph, the passage states that "the young man" Mr. Peters once was "had never for one second deserted" him (lines 90-91,"the...at"). The main idea of the last paragraph is that Mr. Peters still thinks of himself as young, or at least acts as if he is a younger version of himself.
Choice A is incorrect because Mr. Peters is spending time with Lymie, his son, and there is no indication that he generally does not spend time with his family. Choice C is incorrect because although there are brief mentions of a diamond ring and manicured fingers, the paragraph focuses on Mr. Peters's overall appearance, not on his awareness of status symbols. Choice D is incorrect because the last paragraph clearly states that Mr. Peters is "not aware that there had been any change" and thinks of himself as young.