In a library 50%of total number of books of marathi the books of english are 1/3 of marathi the books of mathematics are 25% of english book remaning 560 books are of other subject what is total number of books in a library
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Answer:
Step-by-step explanation:
Assume total number of books is X
Then
Marathi books = 50% of X = X(50/100) = X/2
English books = 1/3 of Marathi books = 1/3 × X/2 = X/6
Mathematics books = 25% of English books = 25/100 × X/6 = 1/4 × X/6 = X/24
Total number of books = Marathi + English + Mathematics + Remaining
X = X/2 + X/6 + X/24 + 560
X =(12X + 4X + X)/24 + 560
X =17X/24 + 560
X - 17X/24 = 560
7X/24 = 560
X = 560×24/7 = 1920
Total number of books is 1920
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