Question

super brain please solve ​

Answer 1

Answer:

Let the total number of books be x

50 % of the total books are of Marathi = x*50/100 = x/2

Books of English are 1/3rd of Marathi = (x/2)*(1/3)

= x/6

Books on Mathematics are 25 % of the English books = (x/6)*(25/100)

= x/24

Remaining books = 560

Now, according to the question.

⇒ x/2 + x/6 + x/24 + 560/1 = x/1

⇒ (12x + 4x + x + 13440)/24 = x/1

⇒ 17x + 13440 = 24x

⇒ 24x - 17x = 13440

⇒ 7x = 13440

⇒ x = 13440/7

⇒ x = 1920

So, there are 1920 books in the the library.

Answer 2

           

$\bold{Answer:\ 1920} \\ \\ \\ \bold{==========================================}$

 

$Let the total no. of books be \ x. \\ \\ \\ Given that 50\% of \ x\ is of Marathi. \\ \\ I.e., \ \frac{50}{100}x=\frac{1}{2}x=\frac{x}{2}\ \ books are of Marathi. \\ \\ \\ Given that \ \frac{1}{3}\ of \ \frac{x}{2}\ books are of English. \\ \\ I.e., \ \frac{1}{3} \times \frac{x}{2}=\frac{x}{6}\ books are of English. \\ \\ \\ Given that 25\% of \ \frac{x}{6}\ books are on Mathematics. \\ \\ I.e., \ \frac{25}{100} \times \frac{x}{6}=\frac{x}{24}\ books are on Mathematics.$

   

$When the sum of all these nos. of books is subtracted from the total no. of books, we get the no. of remaining books of other subjects, i.e., 560. \\ \\ I.e., \\ \\ x-(\frac{x}{2}+\frac{x}{6}+\frac{x}{24})=560 \\ \\ \Rightarrow\ x-(\frac{12x}{24}+\frac{4x}{24}+\frac{x}{24})=560 \\ \\ \Rightarrow\ x-(\frac{12x+4x+x}{24})=560 \\ \\ \Rightarrow\ x-\frac{17x}{24}=560 \\ \\ \Rightarrow\ \frac{24x}{24}-\frac{17x}{24}=560 \\ \\ \Rightarrow\ \frac{24x-17x}{24}=560 \\ \\ \Rightarrow\ \frac{7x}{24}=560$

   

$\Rightarrow\ x=560 \times \frac{24}{7} \\ \\ \Rightarrow\ x=\bold{1920} \\ \\ \\ \therefore\ The total number of books is \ \bold{1920}. \\ \\ \\ Hope this helps. Plz mark it as the brainliest. \\ \\ If you have any doubt on my answer, plz ask me. I'll be able to clear it. \\ \\ \\ Thank you. :-))$