# 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.

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.

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