In a group of people, 8 persons like only Goa and 9 persons like only Dubai. There is only one person who likes only Agra. 10 persons like both Goa and Agra while 2 persons like both Dubai and Goa. There is no such person who likes both Agra and Dubai and there is no one in the group who likes all three. How many total persons are there in the group?

People who like only Goa = 8

People who like only Dubai = 9

People who like only Agra = 1

People who like both Goa and Agra = 10

People who like both Dubai and Goa = 2

People who like both Agra and Dubai = 0

People who like all three = 0

​$$\text{Only Goa} + \text{Only Dubai} + \text{Only Agra} + \text{Both Goa \& Agra} + \text{Both Dubai \& Goa}$$

So, the total number of persons in the group is 30. 

Thus, the correct option is:(b)