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Question

If the list price of a book is reduced by Rs. 5, a person can buy 5 more books for Rs. 300. Find the original list price of the book.

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Solution

Let x and y be the price of one book and no. of books respectively.
Therefore,
Total amount spent =xy
300=xy.....(1)
Now,
Changed price of book =Rs.(x5)
No. of books bought =y+5
Again,
Total amount spent =(x5)(y+5)
300=xy+5x5y25
325=300+5(xy)
5(xy)=325300
xy=255=5
y=x5.....(2)
From equation (1)&(2), we have
x(x5)=300
x25x300=0
(x20)(x+15)=0
xve(Price of book cannot be negative)
x=20
Hence the actual cost of book is x=Rs.20.

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