CBSE Class 10 Answered
Solution for the problem
if the cost of a book is reduced by rs.5 a man is able to buy 5 more books for rs.300.Find the original list price of the book
is correct in the following method since it satisfies the condition of the problem
Money available 300
So number of books purchased at the rate Rs20 will be 300/20 = 15 books
if the price is reduced by 5 then number of books purchased will be 300/15 =20 books which is 5 more than the previous number.
Let the original price of a book be rs.x and no. of books be y so, xy=300 x=300/y ----(i)
also, (x-5)(y+5)=300
xy-5y+5x-25=300 replacing from (i) 300-5y+1500/y=325
5y^2 + 25y -1500=0 y^2+5y-300=0 y=15 putting value in (i) we get; x=20 therefore,cost of book is rs.20
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