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
View all questions of this test
In a library, 30% of the books are in History. 50% of the remaining ar...
The price of a car is Rs. 4,50,000. It was insured to 80% of its price. The car was damaged completely in an accident and the insurance company paid 90% of the insurance. What was the difference between the price of the car and the amount received?
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.