Question

Question??
1) A school purchased 8 dozen mathematics books 7 dozen physics books 10 dozen chemistry books the prices are Rs.50, Rs.40, and Rs.60 per book respectively .
Find the total amount that the book seller will receive from school authority using matrix multiplication?​

Answer 1

Answer:

Rs.15360

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Answer 2

Given :

Mathematics books = 8 dozen = ₹50

Physics books = 7 dozen = ₹40

Chemistry books = 10 dozen = ₹60

To find :

The total amount that the book seller will receive from school.

Solution :

Let A be the matrix of number of books.

$\sf A = [ 8 \times 12 \: \: \: 7 \times 12 \: \: \: 10 \times 12]$

$\sf A = [96 \: \: \: 84 \: \: \:120]$

B be matrix of cost of each book

$\sf B = \begin{bmatrix} \begin{array} {l} { \sf 50 } \\ { \sf 40 } \\ { \sf60 } \end{array} \end{bmatrix}$

Total selling price =

$\sf AB = [ 96\quad 84 \quad 120] \begin{bmatrix} \begin{array} { l } { 50 } \\ { 40 } \\ { 60 } \end{array} \end{bmatrix}$

$\sf AB = [96 \times 50 + 84 \times 40 + 120 \times 60]$

$\sf AB = [4800 + 3360 + 7200]$

$\sf AB = [15360]$

Thus, total amount that the book seller will receive from school is 15360rs.