Question

b)
The price of a pen and a book are in the ratio
3:5. The price of a book is 12 rupees
more than the price of a pen.
a) If the price of a pen is taken as 3.x, how can we write the price of a book?
b) Find the price of a pen and that of a book.​

Answer 1

Step-by-step explanation:

Price of a pen is 3x

Price of book is 5x

The cost of book is 12 rs more than pen. So the difference between the cost of pen and book is 12 rs.

Therefore,

5x - 3x = 12

2x = 12

x = 12

Cost of pen ,3x = 3 * 12 = 36 ₹

Cost of book ,5x = 5* 12 = 60₹

Answer 2

Given:

The ratio of the price of pen and book= 3:5

Price of book= Price of pen + 12

To find:

The price of the pen and the book and the price of the book if the price of the pen is 3x.

Solution:

We can find the solution by following the given steps-

Let the price of the pen be P.

So, the price of the book will be P+12.

The ratio of the price of pen and book is 3:5.

So, P:P+12=3:5

P/P+12=3/5

5P=3(P+12)

5P=3P+36

2P=36

P= 18

If the price of the pen is 3x, we can write the price of the book as 3x+12.

Price of the pen, P= 18

Price of the book, P+12=30

Therefore, if the price of the pen is 3x, the price of the book is 3x+12. The price of the pen is Rs. 18 and the price of the book is Rs. 30.