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Exercise 4.5 · Q121

Q.Using the same sales matrices AA (July) and BB (August) as in part (i): if both book shops got 10% profit in the month of August 2017, find the profit for each book seller in each subject in that month.

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Given August sales B=[6650705589057000750010200]B = \begin{bmatrix} 6650 & 7055 & 8905 \\ 7000 & 7500 & 10200 \end{bmatrix} (Row 1 = Suresh, Row 2 = Ganesh; columns = Physics, Chemistry, Mathematics). A 10% profit means each entry is multiplied by 10100=0.1\frac{10}{100}=0.1:

Suresh: Physics 0.1×6650=6650.1\times6650=665; Chemistry 0.1×7055=705.50.1\times7055=705.5; Mathematics 0.1×8905=890.50.1\times8905=890.5

Ganesh: Physics 0.1×7000=7000.1\times7000=700; Chemistry 0.1×7500=7500.1\times7500=750; Mathematics 0.1×10200=10200.1\times10200=1020 …

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