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.

Match the items on the right to the items on the left.

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Physics: 10 dozen books. Chemistry: 8 dozen books
Mathematics: 5 dozen books

.Cost of one dozen physics books = 99.60 ∴ Cost of one dozen chemistry books = Rs 41.40 ∴ Cost of one dozen mathematics books = Rs 54

Matrix representaon of cost of books:

the amount received by the store upon selling all the available books can be found by taking the product of the matrices X and Y.

⇒ XY = [10 × 99.60 + 8 × 41.40 + 5 × 54]

⇒ XY = [996 + 331.20 + 270]

∴ XY = [1597.20]

Thus, the total amount the store will receive from selling all the items is Rs 1597.20.