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Option 2 : 14
Let the number of regional languages be ‘x’
⇒ Total no. of languages = x + 2
∵ Average no. of books per language = 525
⇒ Total no. of books in library = 525 × (x + 2) = 525x + 1050
Also, average no. of books per regional language = 225
⇒ Total no. of books in regional languages = 225x
⇒ Total no. of books in Hindi and English = 525x + 1050 – 225x = 300x + 1050
Now,
Total no. of books in Hindi and English – Total no. of books in regional languages = 2100
⇒ 300x + 1050 – 225x = 2100
⇒ x = 1050/75 = 14
∴ No. of regional languages = 14
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