Math, asked by pugu, 1 year 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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