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