A man reads 3/8 of a book on a day and 4/5 of the remainder on the second day. If the number of pages still unread are 40, then how many pages did the book contain.
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Let the total no. of pages the book has be x
Book red by a man on 1st day = 3/8 of x = 3x/8
Remaining = x-3x/8 = 8x-3x/8 = 5x/8
Part of book red on 2nd day = 4/5 of (5x/8)
= 20x/40 = x/2
Pages unread = 40.
ACCORDING TO QUESTION:-
3x/8 + x/2 + 40 = x
=> 3x+4x/8 - x = -40
=> 7x/8 - x = -40
=> 7x-8x/8 = -40
=> -x/8 = -40
=> -x = -40×8
=> x = 320.
Total no. of pages = x = 320.
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