) A library has 1000 books in stock. They were biographies, fictions and academic books. The ratio
of biographies to fictions to academic books is 4:7:9. The librarian adds 25 biographies, 50
fictions and 100 academic books to the library during an academic year. What is the new ratio of
biographies to fictions to the academic books?
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ANSWER= 22:9:15
EXPLANATION: Let the ratio be 4x:7x:9x
therefore, 4x+9x+7x=1000
20x=1000
x=50
no of biographies=4x+25=225
no of fictions=7x+25=375
no of academic books=9x+100=550
after adding the books total no. of books=550+225+375=1200
Now, ratio =550/225/375=22:9:15
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