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Option 2 : 44 ∶ 110
Let the of ratio of boys and girls be k ∶ 1
⇒ Total number of students selected for internship = (k + 1)
Total stipend paid to all the students = 4000 × (k + 1) = 4000k + 4000
Total stipend paid to boys and girls = (4500 × k) + (1 × 3800) = 4500k + 3800
The above two expressions are equal as both of them give total stipend paid
⇒ 4500k + 3800 = 4000k + 4000
⇒ 4500k – 4000k = 4000 – 3800
⇒ 500k = 200
⇒ k = 200/500 = 2/5
⇒ k ∶ 1 = (2/5) ∶ 1 = 2 ∶ 5
From the options, option b has the appropriate ratio i.e., 44 ∶ 110 = 2 ∶ 5
∴ Option b is correct.
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