Question

# In a library, 50% of total number of books is of Marathi. The books of English are $\frac{1}{3}$rd of Marathi books. The books on mathematics are 25% of the English books. The remaining 560 books are of other subjects. What is the total number of books in the library?

Solution

## Let the total number of books be x. 50% books are in Marathi = $\frac{50}{100}x=\frac{x}{2}$ Books of English = $\frac{1}{3}$rd of Marathi books = $\frac{1}{3}×\frac{x}{2}=\frac{x}{6}$ Books on mathematics are 25% of the English books = $\frac{25}{100}×\frac{x}{6}=\frac{x}{24}$ Remaining books = 560 So,  $\frac{x}{2}+\frac{x}{6}+\frac{x}{24}+560=x\phantom{\rule{0ex}{0ex}}⇒\frac{17x}{24}+560=x\phantom{\rule{0ex}{0ex}}⇒x-\frac{17x}{24}=560\phantom{\rule{0ex}{0ex}}⇒\frac{7x}{24}=560\phantom{\rule{0ex}{0ex}}⇒x=\frac{560×24}{7}=1920$ Total books in the library are 1920.  MathematicsMathematics - SolutionsStandard VIII

Suggest Corrections

0

Similar questions
View More

Same exercise questions
View More

People also searched for
View More