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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.
Solution
Stock of various types of books in the store is given by
Physics Chemistry Mathematics
\[X = \begin{bmatrix}120 & 96 & 60\end{bmatrix}\]
Selling price of various types of books in the store is given by
\[Y = \begin{bmatrix}8 . 30 \\ 3 . 45 \\ 4 . 50\end{bmatrix}\begin{array} \\Physics \\ Chemistry \\ Mathematics\end{array}\]
\[\]
Total amount received by the store from selling all the items is given by
\[XY = \begin{bmatrix}120 & 96 & 60\end{bmatrix}\begin{bmatrix}8 . 30 \\ 3 . 45 \\ 4 . 50\end{bmatrix}\]
\[ = \begin{bmatrix}\left( 120 \right)\left( 8 . 30 \right) + \left( 96 \right)\left( 3 . 45 \right) + \left( 60 \right)\left( 4 . 50 \right)\end{bmatrix}\]
\[ = \begin{bmatrix}996 + 331 . 20 + 270\end{bmatrix}\]
\[ = \begin{bmatrix}1597 . 20\end{bmatrix}\]
Required amount = Rs 1597.20
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