Math, asked by pugu, 11 months ago

The cost of some books is
60. Cost of every book is the same. If the bookseller decreases the cost of the book by 1, one gets 5 books more for the same amount
What is the cost of each book and how many books are purchased?

Answers

Answered by yuktasinghania1234

Answer:

Step-by-step explanation:

Let cost of x books be 60

One book cost = 60/x

According to ques,

60/x - 60/(x + 5) = 1

60[x+5 - x]=x^2 + 5x

300 = x^2 + 5x

x^2 + 5x - 300 = 0

x^2 + 20x - 15x - 300 = 0

x(x+20) - 15(x+20) = 0

(x-15)(x+20)=0

-> x=15 (since cost cant be -20)

15 books are purchased for 60Rs. Ie. cost of one book = Rs. 4

Mandakh: How 2x^+5x-300=0

Mandakh: See this equation we can't directly do first we have to multiply 300 by 2 then it will be 600 and after that 40×15 is 600 .

yuktasinghania1234: i didnot do any multiplication..its just transferring to make it quadratic

Mandakh: Okay thanks

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