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In a library, 30% of the books are in History. 50% of the remaining are in English and 40% of the remaining are in German. The remaining 4200 books are in regional languages. What is the total number of books in library?
  • a)
    10000
  • b)
    15000
  • c)
    20000
  • d)
    25000
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
In a library,30% of the books are in History.50% of the remaining are ...
Total Number of Books in the Library
To find the total number of books in the library, let's denote the total number of books as "x".
Step 1: Calculate History Books
- 30% of the books are in History:
- History books = 0.3x
Step 2: Remaining Books After History
- Remaining books after History:
- Remaining = x - 0.3x = 0.7x
Step 3: Calculate English Books
- 50% of the remaining books are in English:
- English books = 0.5 * 0.7x = 0.35x
Step 4: Remaining Books After English
- Remaining books after English:
- Remaining = 0.7x - 0.35x = 0.35x
Step 5: Calculate German Books
- 40% of the new remaining books are in German:
- German books = 0.4 * 0.35x = 0.14x
Step 6: Remaining Books After German
- Remaining books after German:
- Remaining = 0.35x - 0.14x = 0.21x
Step 7: Remaining Books in Regional Languages
- According to the problem, the remaining books are in regional languages, and there are 4200 of them:
- 0.21x = 4200
Step 8: Solve for Total Books
- To find x (total number of books):
- x = 4200 / 0.21
- x = 20000
Conclusion
The total number of books in the library is 20,000. Thus, the correct option is C.
Community Answer
In a library,30% of the books are in History.50% of the remaining are ...
(70/100)*T*(50/100)*(60/100) = 4200
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In a library,30% of the books are in History.50% of the remaining are in English and40% of the remaining are in German.The remaining4200 books are in regional languages. What is the total number of books in library?a)10000b)15000c)20000d)25000Correct answer is option 'C'. Can you explain this answer?
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