





Examples
Example 2
Example 3 Important
Example 4
Example 5 Important
Example 6
Example 7
Example 8
Example 9
Example 10
Example 11 Important You are here
Example 12
Example 13 Important
Example 14
Example 15
Example 16 Important
Example 17
Example 18 Important
Example 19
Example 20 Important
Example 21
Example 22 Important
Example 23 Deleted for CBSE Board 2022 Exams
Example 24 Important Deleted for CBSE Board 2022 Exams
Example 25 Important Deleted for CBSE Board 2022 Exams
Example 26 Important
Example 27 Important
Example 28
Last updated at Aug. 16, 2021 by Teachoo
Example 11 (i) Two farmers Ramkishan and Gurcharan Singh cultivates only three varieties of rice namely Basmati, Permal and Naura. The sale (in Rupees) of these varieties of rice by both the farmers in the month of September and October are given by the following matrices A and B. September Sales (in Rupees) Basmati Permal Naura A = [■8(10,000&20,000&30,000@50,000&30,000&10,000)] October Sales (in Rupees) Basmati Permal Naura B = [■8(5000&10,000&6000@20,000&10,000&10,000)] (i) Find the combined sales in September and October for each farmer in each variety. Guracharan Singh Guracharan Singh Combined sales in September and October will be A + B A + B = [■8(10,000&20,000&30,000@50,000&30,000&10,000)] + [■8(5000&10,000&6000@20,000&10,000&10,000)] = [■8(10000+5000&20000+10000&30000+6000@50000+20000&30000+ 10,000&10000+10000)] = [■8(15,000&30,000&36,000@70,000&40,000&20,000)] Hence, Total Sales = [■8(15,000&30,000&36,000@70,000&40,000&20,000)] Guracharan singh Example 11 (ii) Two farmers Ramkishan and Gurcharan Singh cultivates only three varieties of rice namely Basmati, Permal and Naura. The sale (in Rupees) of these varieties of rice by both the farmers in the month of September and October are given by the following matrices A and B. September Sales (in Rupees) Basmati Permal Naura A = [■8(10,000&20,000&30,000@50,000&30,000&10,000)] October Sales (in Rupees) Basmati Permal Naura B = [■8(5000&10,000&6000@20,000&10,000&10,000)] (ii) Find the decrease in sales from September to October. Decrease in sales from September to October will be A – B A – B = [■8(10,000&20,000&30,000@50,000&30,000&10,000)] – [■8(5000&10,000&6000@20,000&10,000&10,000)] = [■8(10000−5000&20000−10000&30000−6000@50000−20000&30000−10,000&10000−10000)] = [■8(5000&10,000&24,000@30,000&20,000&0)] Hence, Decrease in sales from September to October = [■8(5000&10,000&24,000@30,000&20,000&0)] Example 11 (iii) Two farmers Ramkishan and Gurcharan Singh cultivates only three varieties of rice namely Basmati, Permal and Naura. The sale (in Rupees) of these varieties of rice by both the farmers in the month of September and October are given by the following matrices A and B. September Sales (in Rupees) Basmati Permal Naura A = [■8(10,000&20,000&30,000@50,000&30,000&10,000)] October Sales (in Rupees) Basmati Permal Naura B = [■8(5000&10,000&6000@20,000&10,000&10,000)] (iii) If both farmers receive 2% profit on gross sales, compute the profit for each farmer and for each variety sold in October. Profit = 2% × (Sales on October) = 2/100 × B = 0.02 × B = 0.02 × [■8(5000&10,000&6000@20,000&10,000&10,000)] = [■8(0.02×5000&0.02×10,000&0.02×6000@0.02×20,000&0.02×10,000&0.02×10,000)] = [■8(100&200&120@400&200&200)] Hence, Profit = [■8(100& 200& 120@400& 200& 200)] Hence, Ramkishan receives Rs 100 profit on sale of Basmati rice , Rs 200 profit on sale of Permal & Rs 120 profit in the sale of Naura in the month of October Hence, Gurcharan Singh receives Rs 400 profit on sale of Basmati rice , Rs 200 profit on sale of Permal & Rs 200 profit in the sale of Naura in the month of October