Question

In a Dance academy 13% of total students are learning Kathak, 3/5 of total students are interested in Bharat Natyam. 11% of total students are interested in Hip hop and remaining 20 students are learning contemporary. How many students are there in the academy?

1. 125
2. 120
3. 115
4. 110
5. None of these

Answer 1

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.