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?

Let price of a pen be x rupees

Then, price of 2 pens = 2x rupees

Since, Price of book is 4 rupees more than price of a pen,

∴ Price of a book = x + 4rupees

∴ price of 5 books = 5(x + 4) = 5x + 5 × 4 rupees = 5x + 20 rupees

Price of a pencil is two rupees less than that of pen

∴ price of a pencil = x-2 rupees

∴ price of 3 pencils = 3(x-2) = 3x-3 × 2 rupees = 3x-6 rupees

Total price of 5 books, 2 pens and 3 pencils = 74 rupees

⇒ 5x + 20 + 2x + 3x-6 = 74

⇒ 10x + 14 = 74

⇒ 10x = 74-14

⇒ 10x = 60

⇒ x = 6

Hence ,

Price of a pen = x = 6 rupees

Price of a book = x + 4 = 10 rupees

Price of a pencil = x-2 = 4 rupees