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 pencil is 74 rupees. What is the price of each
Answers
Answer:
Answer : Pen = 6 Book = 10 Pencil = 4 Solution: Let Price of pen = x Price of book = x + 4 ... 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.
Given,
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 pencil is Rs.
To find,
Price of each items.
Solution,
We can simply solve this mathematical problem by using the following mathematical process.
Let, the price of a pen = Rs. x
So, price of the book = Rs. (x+4)
And, price of the pencil = Rs. (x-2)
Price of 5 books = 5×(x+4) = Rs. (5x+20)
Price of 2 pens = 2× x = Rs. 2x
Price of 3 pencils =3 × (x-2) = Rs. (3x-6)
According to the data mentioned in the question,
(5x+20)+2x+(3x-6)= 74
5x+2x+3x = 74-20+6
10x = 60
x = 60/10
x = 6
Price of a pen = Rs. 6
Price of a book = Rs. (6+4) = Rs. 10
Price of a pencil = Rs. (6-2) = Rs. 4
Hence, the price of a book is Rs. 10 , price of a pen is Rs. 6 and price of a pencil is Rs. 4