Answer:
amount of unrealized intra entity profit = = $20,000
so correct option is b) $20,000
Step-by-step explanation:
given data 
acquired = 75% percent
 inventory cost = $260,000
sold = $390,000
goods in inventory = $60,000
to find out
amount of intra entity gross profit for which recognition is deferred
solution
we first find here Markup on cost that is express as here 
Markup on cost = 

Markup on cost = 50%
so here amount of unrealized intra entity profit that should be eliminated in the consolidation process is 
amount of unrealized intra entity profit = $60,000 × 

amount of unrealized intra entity profit = = $20,000
so correct option is b) $20,000