Math, asked by kavitabawankule77, 11 months ago

In a library, 50% of total number of books is of Marathi. The books of English are 1/3 rd of Marathi books. The books on mathematics are 25% of English books. The remaining 560 books are of other subjects. What is the total number of books in the library?​

Answers

Answered by Anshimish0105
28

the answer is the following...

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Answered by Anonymous
149

AnswEr :

Let the total no(s) of Book in Library be n.

\rule{160}{1}

↠ Marathi Books = 50% of Total

↠ Marathi Books = \sf\cancel\dfrac{50}{100} \times n

Marathi Books = \sf\dfrac{n}{2}

\rule{100}{2}

↠ English Books = \sf\dfrac{1}{3} of Marathi

↠ English Books = \sf\dfrac{1}{3}\times\dfrac{n}{2}

English Books = \sf\dfrac{n}{6}

\rule{100}{2}

↠ Maths Books = 25% of English

↠ Maths Books = \sf\cancel\dfrac{25}{100}\times\dfrac{n}{6}

↠ Maths Books = \sf\dfrac{1}{4}\times\dfrac{n}{6}

Maths Books = \sf\dfrac{n}{24}

\rule{270}{2}

According to the Question Now :

\longrightarrow \textsf{Marathi + English + Maths + Others = Total Books}\\\\\\\longrightarrow \sf \dfrac{n}{2} + \dfrac{n}{6} + \dfrac{n}{24} + 560 = n \\\\\\\longrightarrow \sf \dfrac{12n + 4n + n + 13440}{24} = n \\\\\\\longrightarrow \sf17n + 13440 = 24n \\\\\\\longrightarrow \sf13440 = 24n - 17n \\\\\\\longrightarrow \sf13440 = 7n \\ \\ \\\longrightarrow \sf \cancel\dfrac{13440}{7} = n  \\ \\ \\\longrightarrow \large\boxed{\sf n = 1920}\qquad \small\tt{[Total\: Books]}

Total Books in the Library are 1,920.

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