No, Rama is not at home. He . . . . . . . . just . . . . . . . . for shopping.

In this sentence, we are talking about an action that happened in the recent past and its relevance to the present moment.
The correct tense to use in this context is the present perfect tense, which is formed by using "has/have" + the past participle of the verb.
So, "has gone" is the correct choice for the first blank. It indicates that Rama left for shopping in the recent past, and this action has some connection or relevance to the present moment.
For the second blank, "for shopping" is the appropriate phrase to complete the sentence, as it explains the reason for Rama's absence.

Option B: Has/gone is the correct choice for both blanks, making it the right answer.