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Question
There are two book shops owned by Suresh and Ganesh. Their sales (in Rupees) for books in three subject – Physics, Chemistry and Mathematics for two months, July and August 2017 are given by two matrices A and B.
July sales (in Rupees), Physics Chemistry Mathematics.
A = `[(5600, 6750, 8500),(6650, 7055, 8905)]"First Row Suresh"/"Second Row Ganesh"`
August sales(in Rupees), Physics Chemistry Mathematics
B = `[(6650, 7055, 8905),(7000, 7500, 10200)]"First Row Suresh"/"Second Row Ganesh"` then,
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
Solution
Profit percentage for each book shop and for each subject is 10 % in August 2017 and the total sale is given in matrix form as
| Physics | Chemistry | Maths | |
| Suresh | 6650 | 7055 | 8905 |
| Ganesh | 7000 | 7500 | 10200 |
∴ profit for each book seller in each subject is given by
`10/100[(6650, 7055, 8905),(7000, 7500, 10200)]`
= `[(6650 xx 1/10, 7055 xx 1/10, 8905 xx 1/10),(7000 xx 1/10, 7500 xx 1/10, 10200 xx 1/10)]`
= `[(665, 705.5, 890.5),(700, 750, 1020)]`
Hence, the profit for Suresh book shop are ₹ 665 (in Physics),₹ 705.50 (in Chemistry),₹ 890.50 (in Maths) and for Ganesh,book shop are ₹ 700 (in Physics), ₹ 750 (in Chemistry), ₹ 1020 (in Maths).
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There are two book shops own by Suresh and Ganesh. Their sales (in Rupees) for books in three subject - Physics, Chemistry and Mathematics for two months, July and August 2017 are given by two matrices A and B.
July sales (in Rupees), Physics Chemistry Mathematics
A = `[(5600, 6750, 8500),(6650, 7055, 8905)][("Suresh"), ("Ganesh")]`
August Sales (in Rupees) Physics Chemistry Mathematics
B = `[(6650, 7055, 8905),(7000, 7500, 10200)][("Suresh"), ("Ganesh")]`
Find the increase in sales in Rupees from July to August 2017.
There are two book shops own by Suresh and Ganesh. Their sales ( in Rupees) for books in three subject - Physics, Chemistry and Mathematics for two months, July and August 2017 are given by two matrices A and B. July sales ( in Rupees) :
Physics Chemistry Mathematics
A = `[(5600, 6750, 8500),(6650, 7055, 8905)][("Suresh"), ("Ganesh")]`
August Sales (in Rupees :
B = `[(6650, 7055, 8905),(7000, 7500, 10200)][("Suresh"), ("Ganesh")]`
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