Q. 725.0( 3 Votes )

The cooperative s

Answer :

Given the details of stock of various types of books.


Physics: 10 dozen books


Chemistry: 8 dozen books


Mathematics: 5 dozen books


Hence, the number of dozens of books available in the store can be represented in matrix form with each column corresponding to a different subject as -



The price of each of the items is also given.


Cost of one physics book = Rs 8.30


Cost of one dozen physics books = 12 × Rs 8.30


Cost of one dozen physics books = Rs 99.60


Cost of one chemistry book = Rs 3.45


Cost of one dozen chemistry books = 12 × Rs 3.45


Cost of one dozen chemistry books = Rs 41.40


Cost of one mathematics book = Rs 4.50


Cost of one dozen mathematics books = 12 × Rs 4.50


Cost of one dozen mathematics books = Rs 54


Hence, the cost of purchasing a dozen books of each subject can be represented in matrix form with each row corresponding to a different subject as –



Now, 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.


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