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There are 1,10,000 books at Khuda Baksh Oriental Public Library, 40% of which are science books. It was decided to add 20,000 new books to the library. How many of the new books should be science booksin order to bring the percentage of science books in the library equal to 45%?
  • a)
    15,000
  • b)
    1,500
  • c)
    1,450
  • d)
    14,500
Correct answer is option 'D'. Can you explain this answer?
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Given:
Total number of books in Khuda Baksh Oriental Public Library = 1,10,000
Percentage of science books = 40%
New books to be added = 20,000
Target percentage of science books = 45%

To find:
Number of new science books to be added to achieve the target percentage

Solution:
1. Find the current number of science books:
Number of science books = 40% of 1,10,000
Number of science books = 44,000

2. Find the current total number of books:
Total number of books = 1,10,000

3. Find the current percentage of science books:
Percentage of science books = (Number of science books / Total number of books) x 100
Percentage of science books = (44,000 / 1,10,000) x 100
Percentage of science books = 40%

4. Find the number of non-science books:
Number of non-science books = Total number of books - Number of science books
Number of non-science books = 1,10,000 - 44,000
Number of non-science books = 66,000

5. Find the target number of science books:
Target number of science books = Target percentage of science books x (Total number of books + New books to be added) / 100
Target number of science books = 45% x (1,10,000 + 20,000) / 100
Target number of science books = 67,500

6. Find the number of new science books to be added:
Number of new science books to be added = Target number of science books - Number of science books
Number of new science books to be added = 67,500 - 44,000
Number of new science books to be added = 23,500

7. Verify the new percentage of science books:
New total number of books = Total number of books + New books to be added
New total number of books = 1,10,000 + 20,000
New total number of books = 1,30,000

New percentage of science books = (Number of science books + Number of new science books to be added) / New total number of books x 100
New percentage of science books = (44,000 + 23,500) / 1,30,000 x 100
New percentage of science books = 45%

Therefore, the number of new science books to be added to achieve the target percentage is 14,500.
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There are 1,10,000 books at Khuda Baksh Oriental Public Library, 40% of which are science books. It was decided to add 20,000 new books to the library. How many of the new books should be science booksin order to bring the percentage of science books in the library equal to 45%?a)15,000b)1,500c)1,450d)14,500Correct answer is option 'D'. Can you explain this answer?
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