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Option 1 : 40

Given:

The total number of students = 200

The ratio initially = 3 : 2

The ratio after 60 new students were added = 7 : 6

Calculation:

Let us assume the new girls took admission be X

⇒ The initially Boys = 200 × (3/5) = 120

⇒ The initially Girls = 200 - 120 = 80

⇒ The total students after new admission = 200 + 60 = 260

⇒ The girls of the school when new admission = 260 × (6/13) = 120

⇒ The Girls who took new admission = 120 - 80 = 40

∴ The required result will be 40.

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