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In a public library, there are 125,000 books, 45% of which are science books. It was decided to add 25,000 new books to the library. How many of the new books should be science books in order to bring the percentage of science books in the library up to 50 %?   
  • a)
    15000
  • b)
    15050
  • c)
    14500
  • d)
    18750
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In a public library, there are 125,000 books, 45% of which are science...
 
No.of new Science book=(1,25,000+25,000)×50/100-1,25,000×45/100
=75,000-56,250
=18,750
 
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Most Upvoted Answer
In a public library, there are 125,000 books, 45% of which are science...
Calculating the initial number of science books:
- Initially, the library has 45% of 125,000 books as science books.
- Number of science books = 45% of 125,000
- Number of science books = 0.45 * 125,000
- Number of science books = 56,250

Calculating the new total number of books after adding 25,000 books:
- Total number of books after addition = 125,000 + 25,000
- Total number of books after addition = 150,000

Calculating the desired number of science books to achieve 50%:
- To have 50% science books in the library, the total number of science books should be half of the total number of new books.
- Number of science books needed = 50% of 150,000
- Number of science books needed = 0.50 * 150,000
- Number of science books needed = 75,000

Calculating the number of new science books needed to be added:
- Number of new science books needed = Total number of science books needed - Initial number of science books
- Number of new science books needed = 75,000 - 56,250
- Number of new science books needed = 18,750
Therefore, the correct answer is option 'D', which is 18,750 new science books need to be added to bring the percentage of science books in the library up to 50%.
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