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Comprehension

The following table embodies the details about the enrollment of students in five different streams namely IT, Management, Commerce, Science and Arts in a college during the session 2019-20. A total number of 3500 students including 1500 girls have been enrolled in the college. Based on the data in the table, answer the question:

Stream-wise enrollment of students

Stream

Percentage (%) of students enrolled (out of 3500)

Percentage (%) of Girls enrolled (out of 1500)

IT

20%

18%

Management

16%

12%

Commerce

12%

21%

Science

22%

11%

Arts

30%

38%


1. 14 : 23
2. 2 : 3
3. 114 : 121
4. 53 : 65

1 Answer

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Correct Answer - Option 3 : 114 : 121

Calculation:

The number of girls enrolled in Arts = 38% of 1500 

⇒ (38/100) × 1500 = 570

The number of students enrolled in Science = 22% of 3500

⇒ (22/100) × 3500 = 770 

The number of girls enrolled in the Science = 11% of 1500

⇒ (11/100) × 1500 = 165

The number of boys enrolled in Science = total enrolled in science - girls enrolled in science 

⇒ 770 - 165 = 605

 The ratio of the number of girls enrolled in Arts to the number of boys enrolled in science = 570 ∶ 605

⇒ 114 ∶ 121

∴ The required ratio is 114 ∶ 121

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