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In a library 60% of the books are in Hindi, 60% of the remaining books are in English rest of the books are in Malayalam. If there are 4800 books in English, then the total number of books in Malayalam are?
- a)3400
- b)3500
- c)3100
- d)3200
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In a library 60% of the books are in Hindi, 60% of the remaining books...
D. 3200
Explanation: Let there are X books in the library.
Hindi books = 60% of X = 60X /100 = 0.6X Remaining Books = X – 0.6X = 0.4X English books = 40% of reaming books = 60% of 0.4X = 0.24X.
Malayalam Books = X-0.6X -0.24X = 0.16X Given, 0.24X = 4800
X = 4800/0.24 = 20000
Malayalam Books = 0.16X = 0.16*20000 = 3200.
Explanation: Let there are X books in the library.
Hindi books = 60% of X = 60X /100 = 0.6X Remaining Books = X – 0.6X = 0.4X English books = 40% of reaming books = 60% of 0.4X = 0.24X.
Malayalam Books = X-0.6X -0.24X = 0.16X Given, 0.24X = 4800
X = 4800/0.24 = 20000
Malayalam Books = 0.16X = 0.16*20000 = 3200.
This question is part of UPSC exam. View all Quant courses
Most Upvoted Answer
In a library 60% of the books are in Hindi, 60% of the remaining books...
D. 3200
Explanation: Let there are X books in the library.
Hindi books = 60% of X = 60X /100 = 0.6X Remaining Books = X – 0.6X = 0.4X English books = 40% of reaming books = 60% of 0.4X = 0.24X.
Malayalam Books = X-0.6X -0.24X = 0.16X Given, 0.24X = 4800
X = 4800/0.24 = 20000
Malayalam Books = 0.16X = 0.16*20000 = 3200.
Explanation: Let there are X books in the library.
Hindi books = 60% of X = 60X /100 = 0.6X Remaining Books = X – 0.6X = 0.4X English books = 40% of reaming books = 60% of 0.4X = 0.24X.
Malayalam Books = X-0.6X -0.24X = 0.16X Given, 0.24X = 4800
X = 4800/0.24 = 20000
Malayalam Books = 0.16X = 0.16*20000 = 3200.
Community Answer
In a library 60% of the books are in Hindi, 60% of the remaining books...
Given:
- 60% of the books in the library are in Hindi
- Let the remaining books be x
- 60% of x are in English, which means 40% of x are not in English
- Number of books in English = 4800
To find: Total number of books in Malayalam
Solution:
1. Total number of books in the library = Books in Hindi + Remaining books
= 60% of total books + x
= 0.6(Total books) + x
2. Number of books in English = 60% of remaining books
=> 0.6x = 4800
=> x = 8000
3. Total number of books in the library = 0.6(Total books) + 8000
4. Number of books in Malayalam = Remaining books - Books in English
= (0.4x) - 4800
= (0.4 * 8000) - 4800
= 3200
Therefore, the total number of books in Malayalam is 3200. Hence, the correct answer is option D.
- 60% of the books in the library are in Hindi
- Let the remaining books be x
- 60% of x are in English, which means 40% of x are not in English
- Number of books in English = 4800
To find: Total number of books in Malayalam
Solution:
1. Total number of books in the library = Books in Hindi + Remaining books
= 60% of total books + x
= 0.6(Total books) + x
2. Number of books in English = 60% of remaining books
=> 0.6x = 4800
=> x = 8000
3. Total number of books in the library = 0.6(Total books) + 8000
4. Number of books in Malayalam = Remaining books - Books in English
= (0.4x) - 4800
= (0.4 * 8000) - 4800
= 3200
Therefore, the total number of books in Malayalam is 3200. Hence, the correct answer is option D.
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In a library 60% of the books are in Hindi, 60% of the remaining books are in English rest of the books are in Malayalam. If there are 4800 books in English, then the total number of books in Malayalam are?a)3400b)3500c)3100d)3200e)None of theseCorrect answer is option 'D'. Can you explain this answer?
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