The price of a book is 4 rupees more than the price of a pen; and the price of a pencil is 2 rupees less than the price of this pen. A man bought 5 books, 2 pens and 3 pencils and paid 54 rupees for the lot. What is the price of each?

Open in App

Solution

Let the price of the pen be Rs.x

The price of the book = Rs (x + 4)

The price of the pencil = Rs (x − 2)

Cost of 5 books = Rs 5(x + 4) = Rs (5x + 20)

Cost of 2 pens = Rs.2x

Cost of 3 pencils = Rs 3(x − 2) = Rs (3x − 6)

Total amount paid = Rs.54

Algebraic form of the problem is:

5x + 20 + 2x + 3x − 6 = 54

⇒ 10x + 14 = 54

⇒ 10x = 54 − 14

⇒ 10x = 40

Cost of one pen = Rs.4

Cost of one book = Rs (4 + 4) = Rs.8

Cost of one pencil = Rs (4 − 2) = Rs.2

Suggest Corrections

Similar questions

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

Q. While selling a pen for rupees 24 the loss in percentage is equal to its cost price. Find the cost price of pen. Cost price of pen is less than rupees 50.

Anita and her friends bought some pens. For a packet of five pens, they got two rupees reduction in price. They had to pay only 18 rupees. Had they bought the pens separately, how much would have been the price for each pen?

When five pens were bought together, the total price was reduced by three rupees and only seventeen rupees had to be paid. Had they been bought one by one, how much would have been the price of each pen?

Q. If the prices of a notebook and a pen are ₹8.25 and ₹4.75 respectively, what is the total price of a notebook and a pen in rupees?

Join BYJU'S Learning Program