Question

In a library there were \[12\%\] Hindi books, \[20\%\] Telugu books, \[40\%\] English books and \[8\%\] French books out of a total of \[800\] books. The number of French books is
A.. \[160\]
B.. \[64\]
C.. \[640\]
D.. \[16\]

Answer 1

Hint: This is the question of percentage and in the question it is given percentages of different language books. We have to find the number of French books such that the total number of books is \[800\] and the percentage of French books is \[8\%\]. Now we have to find the answer of following expression which is, \[8{{\%}_{{}}}o{{f}_{{}}}800\] which is \[\dfrac{8}{100}\times 800\] and it is equal to \[64\]. There is no role of percentages of other books given.

Complete step-by-step answer:
In the question by just analyzing the data we can tell that we have to work in percentages, we are given with the percentages of books of different languages like \[12\%\] Hindi books, \[20\%\] Telugu books, \[40\%\] English books and \[8\%\] French books and we are also given the total number of books which is \[800\].
We have to find the total number of French books out of these \[800\] given books, now the meaning of percentage is that initially we are given the actual quantity of some particular type of objects of our interest and it is out of total objects which are actually present but in case of percentages we bring the actual total number of objects to \[100\] by multiplying or dividing and similarly the actual quantity of objects of that above mentioned type which is of our interest also gets compensated and adjusted in the similar way as expressed earlier.
Mathematically, we have to find the actual number of French books when it's quantity in percentages is presented as \[8\%\] out of \[800\] books,
Now by using the above explained concept here, we get,
If \[800\] actual number of books are to be thought as \[100\%\],
Then \[1\%\] books will be represented in actual numbers as \[\dfrac{800}{100}\] which is \[8\] books,
Now we have to find the actual number of \[8\%\] books, which is,
So when \[1\%\] books are represented in actual numbers as \[\dfrac{800}{100}\] which is \[8\] books
Then \[8\%\] books will be represented in actual numbers as \[\dfrac{800}{100}\times 8\] which is \[64\] books.
Therefore the correct answer is,
Option. B. \[64\]

Note: When dealing with percentages always remember that we have to multiply when it is given some percent of something, and we have to add when it is given that object A is some percent more than object B. When it is given that A is \[x\%\] more than B then remember that it is referring that we have to add \[x\%\] of B in B's side. Mathematically it is, \[A=B+\dfrac{x}{100}B\]. Also, do not get carried away by the fact that in the question there are more percentages given and they have to be used, it is not necessary that all the information given in the question comes out to be useful.