Two farmers Ramakishan and Gurucharan Singh cultivate 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 questions:

Two Farmers Ramkishan and Gurucharan Singh - Teachoo.jpg

September sales (in Rupees)
  A = [10,000 20,000 30,000
          50,000 30,000 10,000]


October sales (in Rupees)
 B =  [ 5,000  10,000  6,000
          20,000 10,000 10,000]

Slide30.JPG

 

Question 1

The total sales in September and October for each farmer in each variety can be represented as _______.

(a) A + B
(b) A – B
(c) A > B
(d) A < B Slide47.JPG

 

Question 2

What is the value of A 23 ?

(a) 10000
(b) 20000
(c) 30000
(d) 40000

Slide48.JPG

 

Question 3

The decrease in sales from September to October is given by ______ .

(a) A + B
(b) A – B
(c) A > B
(d) A < B

Slide49.JPG

 

Question 4

If Ramkishan receives 2% profit on gross sales, compute his profit for each variety sold in October.

(a) Rs. 100, Rs. 200 and Rs. 120
(b) Rs. 100, Rs. 200 and Rs. 130
(c) Rs. 100, Rs. 220 and Rs. 120
(d) Rs. 110, Rs. 200 and Rs. 120

Slide50.JPG Slide51.JPG

 

Question 5

If Gurucharan receives 2% profit on gross sales, compute his profit for each variety sold in September.

(a) Rs. 100, Rs. 200, Rs. 120
(b) Rs. 1000 , Rs. 600, Rs. 200
(c) Rs. 400, Rs. 200, Rs. 120
(d) Rs. 1200, Rs. 200, Rs. 120

Slide52.JPG Slide53.JPG

Note: This questions is inspired from Example 11 - Chapter 3 Class 12

  1. Chapter 3 Class 12 Matrices (Term 1)
  2. Serial order wise

Transcript

Question Two farmers Ramakishan and Gurucharan Singh cultivate 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 questions: September sales (in Rupees) A = [■8(10,000&20,000&30,000@50,000&30,000&10,000)] ■8("𝑅𝑎𝑚𝑎𝑘𝑖𝑠h𝑎" 𝑛@"𝐺𝑢𝑟𝑢𝑐h𝑎𝑟𝑎" 𝑛) October sales (in Rupees) A = [■8(10,000&20,000&30,000@50,000&30,000&10,000)] ■8("𝑅𝑎𝑚𝑎𝑘𝑖𝑠h𝑎" 𝑛@"𝐺𝑢𝑟𝑢𝑐h𝑎𝑟𝑎" 𝑛) Question 1 The total sales in September and October for each farmer in each variety can be represented as _______. (a) A + B (b) A – B (c) A > B (d) A < B(a) A + B Total sales will be A + B So, the correct answer is (a) Question 2 What is the value of A23? (a) 10000 (b) 20000 (c) 30000 (d) 40000 A = [■8(10,000&20,000&30,000@50,000&30,000&10,000)] So, A23 = 10,000 So, the correct answer is (a) Question 3 The decrease in sales from September to October is given by ______ . (a) A + B (b) A – B (c) A > B (d) A < B Sale in September = A Sale in October = B ∴ Decrease in Sales = A – B So, the correct answer is (b) Question 4 If Ramkishan receives 2% profit on gross sales, compute his profit for each variety sold in October. (a) Rs. 100, Rs. 200 and Rs. 120 (b) Rs. 100, Rs. 200 and Rs. 130 (c) Rs. 100, Rs. 220 and Rs. 120 (d) Rs. 110, Rs. 200 and Rs. 120 Profit = 2% × Sales in October = 𝟐/𝟏𝟎𝟎 × B = 0.02 × B = 0.02 × [■8(5,000&10,000&6,000@20,000&10,000&10,000)] = [■8(0.02 × 5,000&0.02 × 10,000&0.02 × 6,000@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, Profit for Ramkrishan is Rs. 100, Rs. 200 and Rs. 120 So, the correct answer is (a) Question 5 If Gurucharan receives 2% profit on gross sales, compute his profit for each variety sold in September. (a) Rs. 100, Rs. 200, Rs. 120 (b) Rs. 1000 , Rs. 600, Rs. 200 (c) Rs. 400, Rs. 200, Rs. 120 (d) Rs. 1200, Rs. 200, Rs. 120 Profit = 2% × Sales in September = 𝟐/𝟏𝟎𝟎 × A = 0.02 × A = 0.02 ×[■8(10,000&20,000&30,000@50,000&30,000&10,000)] = [■8(0.02 × 10,000&0.02 × 20,000&0.02 × 30,000@0.02 × 50,000&0.02 × 30,000&0.02 × 10,000)] = [■8(200&400&600@1000&600&200)] Hence, Profit = [■8(200&400&600@1000&600&200)] Hence, Profit for Gurucharan is Rs. 1000, Rs. 600, Rs. 200 So, the correct answer is (b)

About the Author

Davneet Singh's photo - Teacher, Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.