Question

At a shop the cost of a book is rupees 50 more than cost of a copy if the ratio of the cost of two books tto the cost of three copies is 5:6,then what is the cost of the book?​

Answer 1

Answer:

let cost of the copy be x

and cost of the book be 50+x

so, according to the question

→ 2x/ 3(50+x) = 5/6

→ 2x/ 150+ 3x= 5/6

→ 6(2x) = 5(150+3x)

→ 12x= 750+ 15x

→ 15x-12x = 750

→ 3x= 750

→ x= 750/3

→ x= 250

As, the cost of the copy= 250 rs

Then cost of the book= 250+50 rs= 300rs

Step-by-step explanation:

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Answer 2

Given:

A Book and a copy where the cost of the book is 50 more than the cost of the copy.

The Ratio of cost of two books and cost of three copies is 5:6.

To Find:

Cost of a Single book.

Solution:

1. Given the cost of book is 50 more than the cost of the copy.

2. Let the cost of the book be x rupees and the cost of the copy be y rupees.

3. From statement 1 we can obtain a linear equation, i.e,

  => x = y + 50 ( Consider it as Equation 1).

4. It is further mentioned that the ratio of Cost of two books and Cost of three copies is 5:6

  => (2x/3y) = 5:6,

  => (2x/3y) = 5/6, ( a:b implies a/b).

  => 4x = 5y,

  => 4x - 5y = 0. (Consider it as Equation 2).

5. Substitute the value of x as y + 50 from equation 1 in equation 2,  

  => 4 (y + 50) - 5y = 0,

  => 4y + 200 - 5y = 0,

  => -y + 200 = 0,

  => y = 200. (Cost of a Single copy)

6. Substitute the value of y as 200 in Equation 1,

  => x = 50 + 200,

  => x = 250. ( Cost of a Single Book).

Therefore, The cost of the book is 250 Rupees.