Question

The price of a book is 4 rupees more than the price of a pen. The price of a pencil is 2 rupees less than the price of the pen. The total price of 5 books, 2 pens and 3 pencils is 74 rupees. What is the price of each?

Answer 1

Let the cost of a pen = x

cost of a book = x + 4

Cost of a pencil = x – 2

ie.5(x + 4) + 2x + 3(x – 2) = 74

5x + 20 + 2x + 3x – 6 = 74

10 x + 14 = 74, 10x = 74 – 14

x = \(\frac{74-14}{10}\) = 6

Cost of pen = Rs. 6

Cost of book = Rs. 10

Cost of pencil = Rs. 4