Question

In a library 30% books are in English, 60% of remaining are hindi, 25% of the remaining are in Sanskrit & the remaining 52,500 books are other languages.Find the total number of books in the library.

Answer 1

Answer:

The total number of books in the library are 250,000

Explanation:

Let us suppose total number of books in a library be x

In a library 30% books are in English

Number of books are in English = 30% of x

$\text{Number of English books}=0.30x$

Remaining books in library = x - 0.30x = 0.70x

In library 60% of the remaining books are in hindi

Number of books are in Hindi = 60% of 0.70x

$\text{Number of Hindi books}=0.60\times 0.70x\Rightarrow 0.42x$

Remaining books in library = x - 0.30x - 0.42x = 0.28x

In library 25% of the remaining books are in Sanskrit.

Number of books are in Sanskrit = 25% of 0.28x

$\text{Number of Sanskrit books}=0.25\times 0.28x\Rightarrow 0.07x$

Remaining books in library are in other languages = 52,500

According to question we get an equation  

English + Hindi + Sanskrit + Other = x

$0.30x+0.42x+0.07x+52500=x$

$0.79x+52500=x$

$0.21x=52500$

$x=25000$

Thus, The total number of books in the library are 250,000

Answer 2

Answer:

Step-by-step explanation