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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
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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In a library, 30% of the books are in History. 50% of the remaining ar...
Answer – c) 20000 Explanation : (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 ar...
Given information:
- 30% of the books are in History.
- 50% of the remaining books are in English.
- 40% of the remaining books are in German.
- 4200 books are in regional languages.
To find:
The total number of books in the library.
Solution:
Let's assume the total number of books in the library to be 'x'.
1. Books in History:
Given, 30% of the books are in History.
Number of books in History = 30% of x = 0.3x
2. Books remaining after History:
Number of remaining books = x - 0.3x = 0.7x
3. Books in English:
50% of the remaining books are in English.
Number of books in English = 50% of 0.7x = 0.35x
4. Books remaining after English:
Number of remaining books = 0.7x - 0.35x = 0.35x
5. Books in German:
40% of the remaining books are in German.
Number of books in German = 40% of 0.35x = 0.14x
6. Books remaining after German:
Number of remaining books = 0.35x - 0.14x = 0.21x
7. Books in regional languages:
Given, 4200 books are in regional languages.
Number of books in regional languages = 4200
8. Total number of books:
Total number of books = Books in History + Books in English + Books in German + Books in regional languages + Books remaining after German
x = 0.3x + 0.35x + 0.14x + 4200 + 0.21x
Simplifying the above equation, we get
x = 20000
Therefore, the total number of books in the library is 20000.
Answer: Option C.
- 30% of the books are in History.
- 50% of the remaining books are in English.
- 40% of the remaining books are in German.
- 4200 books are in regional languages.
To find:
The total number of books in the library.
Solution:
Let's assume the total number of books in the library to be 'x'.
1. Books in History:
Given, 30% of the books are in History.
Number of books in History = 30% of x = 0.3x
2. Books remaining after History:
Number of remaining books = x - 0.3x = 0.7x
3. Books in English:
50% of the remaining books are in English.
Number of books in English = 50% of 0.7x = 0.35x
4. Books remaining after English:
Number of remaining books = 0.7x - 0.35x = 0.35x
5. Books in German:
40% of the remaining books are in German.
Number of books in German = 40% of 0.35x = 0.14x
6. Books remaining after German:
Number of remaining books = 0.35x - 0.14x = 0.21x
7. Books in regional languages:
Given, 4200 books are in regional languages.
Number of books in regional languages = 4200
8. Total number of books:
Total number of books = Books in History + Books in English + Books in German + Books in regional languages + Books remaining after German
x = 0.3x + 0.35x + 0.14x + 4200 + 0.21x
Simplifying the above equation, we get
x = 20000
Therefore, the total number of books in the library is 20000.
Answer: Option C.
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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)10000b)15000c)20000d)25000e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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