The correct option is D 750 g
Since the cake is being equally divided amongst the 3 brothers, so each brother is eating 13rd of the cake.
If the weight of one piece is 250 grams, then the weight of the entire cake would be three times the weight of one piece of cake.
i.e.,
weight of 13rdof the cake = 250 grams
So,
weight of whole cake = 3 x weight of 13rdof the cake
So, the total weight of the cake
= 3 x 250 grams
= 750 grams
Therefore, the total weight of the cake is 750 grams.