Q. 204.5( 74 Votes )

The bookshop of a particular school has 10 dozen chemistry books, 8 dozen physics books, 10 dozen economics books. Their selling prices are Rs 80, Rs 60 and Rs 40 each respectively. Find the total amount the bookshop will receive from selling all the books using matrix algebra.

Assume X, Y, Z, W and P are matrices of order 2 × n, 3 × k, 2 × p, n × 3 and p × k, respectively.

Answer :

It is given that the bookshop of a particular school has 10 dozen chemistry books, 8 dozen physics books, 10 dozen economics books.

Number of chemistry book = 10 × 12
= 120

Number of physics book = 8 × 12

= 96

Number of economics book = 10 × 12

= 120

Their selling prices are Rs 80, Rs 60 and Rs 40 each respectively.

Let A be the matrix of books per subject.4

A=

Let B denotes selling price of the books.


The total amount of money = number of books × selling price




= [120 × 80 + 96 × 60 + 120 × 40]


= (9600 + 5760 + 4800)


= 20160


Therefore, the bookshop will receive Rs. 20160 from the sale of all these books.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Triangular Matrices & operations on matrices58 mins
Determinants of Matrices of different order59 mins
Types of Matrices & Properties51 mins
Determining a determinant63 mins
Lecture on Product of Determinants58 mins
Interactive Quiz on Properties of Determinants43 mins
Know About finding the Adjoint & Inverse Of Matrix46 mins
Test Yourself, Properties of Determinants30 mins
Interactive Quiz on Matrices & Determinants48 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses