Question

The cooperative stores of a particular school has 10 dozen physics books, 8 dozen chemistry books and 5 dozen mathematics books. Their selling prices are Rs. 8.30, Rs. 3.45 and Rs. 4.50 each respectively. Find the total amount the store will receive from selling all the items.

Answer 1

Stock of various types of books in the store is given by

$$\begin{gathered} \mathrm{Physics}\mathrm{Chemistry}\mathrm{Mathematics} \\ X=\left[\begin{array}{ccc}120& 96& 60\end{array}\right] \end{gathered}$$

Selling price of various types of books in the store is given by

$Y=\left[\begin{array}{c}8.30\\ 3.45\\ 4.50\end{array}\right]\begin{array}{c}\mathrm{Physics}\\ \mathrm{Chemistry}\\ \mathrm{Mathematics}\end{array}$

Total amount received by the store from selling all the items is given by

$$\begin{gathered} XY=\left[\begin{array}{ccc}120& 96& 60\end{array}\right]\left[\begin{array}{c}8.30\\ 3.45\\ 4.50\end{array}\right] \\ =\left[\begin{array}{c}\left(120\right)\left(8.30\right)+\left(96\right)\left(3.45\right)+\left(60\right)\left(4.50\right)\end{array}\right] \\ =\left[\begin{array}{c}996+331.20+270\end{array}\right] \\ =\left[\begin{array}{c}1597.20\end{array}\right] \end{gathered}$$

Required amount = Rs 1597.20