Correct Answer - Option 1 : 125

**Given**

Students learning Kathak = 13% of total student

Students learning Bharat Natyam = 3/5 of total student

Students learning Hip hop = 11% of total student

Students learning contemporary = 20 students

**Formula used**

Percentage = (Value/ total value) × 100

**Calculation**

Let the total number of students in academy = 100.

Learning Kathak = 13% of 100 = 13

Interested in Bharat Natyam = 3/5 of 100 = 60

Interested in hip hop= 11% of 100 = 11

Remaining students learning contemporary= 100 – (13 + 60 + 11) = 16

Now, applying proportion

⇒ 16 : 100 :: 20 : x

⇒ x = 100 × 20/16 = 125

**∴ Number of students in the academy is 125 students.**