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Option 4 : 80

Given:

The total students in school initially = 400

The new students join school = 100

Calculation:

Let us assume the new boys be X

⇒ The boys initially = (3/5) × 400 = 240

⇒ The girls initially = (2/5) × 400 = 160

⇒ The new strength of the class = 400 + 100 = 500

⇒ The boys in school after admission = (16/25) × 500 = 320

⇒ The new boys = X = 320 - 240 = 80

∴ The required result will be 80.

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