The cost of some books is rs 60.Cost of every book is same .If book seller decreases the cost of books by rs 1 then one gets 5 books more for same amount . what is cost of each book and how many books are purchased?
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cost of all books - 60
let cost of each books be x.
so,
no of books= 60/x
as per condition.
if cost decreases by 1.
so cost of each book = x-1
no of books,
60/x-1.
as per condition.
if cost is decreased one gets five books more
so,
60/x-1 - 60/x =5.
this will form a quadratic equation.
which is x^2-x-12=0
where x=4. or. x= -3
but cost can't be negative
so, x= 4.
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