A manufacture produces three stationery products Pencil, Eraser and Sharpener which he sells in two markets. Annual sales are indicated below

A Manufacturer Produces three Stationery - Teachoo.jpg

 

Market

Products (in numbers)

Pencil

Eraser

Sharpener

A

10,000

2000

18,000

B

6,000

20,000

8,000


If the unit Sale price of Pencil, Eraser and Sharpener are Rs. 2.50, Rs. 1.50 and Rs. 1.00 respectively, and unit cost of the above three commodities are Rs. 2.00, Rs. 1.00 and Rs. 0.50 respectively, then, Based on the above information answer the following:

Slide2.JPG

Question 1

Total revenue of market A

(a) Rs. 64,000
(b) Rs. 60,400
(c) Rs. 46,000
(d) Rs. 40,600

Slide3.JPG

Slide4.JPG
Slide5.JPG

Slide6.JPG

 

Question 2

Total revenue of market B

(a) Rs. 35,000
(b) Rs. 53,000
(c) Rs. 50,300
(d) Rs. 30,500

Slide7.JPG

 

Question 3

Cost incurred in market A

(a) Rs. 13,000
(b) Rs. 30,100
(c) Rs. 10,300
(d) Rs. 31,000

Slide8.JPG

Slide9.JPG

 

Question 4

Profit in market A and B respectively are

(a) (Rs. 15,000, Rs. 17,000)
(b) (Rs. 17,000, Rs. 15,000)
(c) (Rs. 51,000, Rs. 71,000)
(d) ( Rs. 10,000, Rs. 20,000)

Slide10.JPG

Slide11.JPG

 

 

Question 5

Gross profit in both market

(a) Rs. 23,000
(b) Rs. 20,300
(c) Rs. 32,000
(d) Rs. 30,200

Slide12.JPG

 

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

Transcript

Question A manufacture produces three stationery products Pencil, Eraser and Sharpener which he sells in two markets. Annual sales are indicated below If the unit Sale price of Pencil, Eraser and Sharpener are Rs. 2.50, Rs. 1.50 and Rs. 1.00 respectively, and unit cost of the above three commodities are Rs. 2.00, Rs. 1.00 and Rs. 0.50 respectively, then, Based on the above information answer the following: Question 1 Total revenue of market A (a) Rs. 64,000 (b) Rs. 60,400 (c) Rs. 46,000 (d) Rs. 40,600Let the sales of Pencil, Eraser and Sharpener be denoted by matrix X X = [■8(10,000&2,000&18,000@6,000&20,000&8,000)] Let the unit sale price of Pencil, Eraser and Sharpener be denoted by matrix Y Let Y = [■8( 2.50 @1.50@1.00)] Now, Total Revenue = Total sales × Unit sales price = XY = [■8(10,000&2,000&18,000@6,000&20,000&8,000)]_(2×3) [■8(2.50@1.50@1.00)]_(3×1) = [■8(10,000(2.50)+2,000(1.50)+18,000(1)@6,000(2.50)+20,000(1.50)+8,000(1) )] = [■8(25,000+3,000+18,000@15,000+30,000+8,000)] = [■8(46,000@53,000)] Total Revenue = [■8(46,000@53,000)] Hence, Total revenue of Market A = Rs. 46,000 Total revenue of Market B = Rs. 53,000 So, the correct answer is (c) Note: We cannot do YX YX = [■8(2.50@1.50@1.00)]_(3×1) [■8(10,000&2000&18,000@6,000&20,000&8,000)]_(2×3) Since, orders don’t match, YX is not possible Question 2 Total revenue of market B (a) Rs. 35,000 (b) Rs. 53,000 (c) Rs. 50,300 (d) Rs. 30,500 Total revenue of Market B = Rs. 53,000 So, the correct answer is (b) Question 3 Cost incurred in market A (a) Rs. 13,000 (b) Rs. 30,100 (c) Rs. 10,300 (d) Rs. 31,000 Let the unit cost price of Pencil, Eraser and Sharpener be denoted by matrix Z Let Z = [■8( 2.00 @1.00@0.50)] Now, Total Cost = Total sales × Unit cost price = XZ = [■8(10,000&2000&18,000@6,000&20,000&8,000)]_(2×3) [■8(2.00@1.00@0.50)]_(3×1) = [■8(10,000(2.00)+2000(1.00)+18,000(0.50)@6,000(2.00)+20,000(1.00)+8,000(0.50) )] = [■8(20,000+2,000+9,000@12,000+20,000+4,000)] = [■8(𝟑𝟏,𝟎𝟎𝟎@𝟑𝟔,𝟎𝟎𝟎)] ∴ Total cost of Market A = Rs. 31,000 So, the correct answer is (d) Question 4 Profit in market A and B respectively are (a) (Rs. 15,000, Rs. 17,000) (b) (Rs. 17,000, Rs. 15,000) (c) (Rs. 51,000, Rs. 71,000) (d) ( Rs. 10,000, Rs. 20,000) Now, Profit = Revenue – Cost = [■8(46,000@53,000)] – [■8(31,000@36,000)] = [■8(𝟏𝟓,𝟎𝟎𝟎@𝟏𝟕,𝟎𝟎𝟎)] Thus, Profit in Market A = Rs. 15,000 Profit in Market B = Rs. 17,000 So, the correct answer is (a) Question 5 Gross profit in both market (a) Rs. 23,000 (b) Rs. 20,300 (c) Rs. 32,000 (d) Rs. 30,200 Now, Profit in Market A = Rs. 15,000 Profit in Market B = Rs. 17,000 Gross profit in both market = Rs 15,000 + Rs 17,000 = Rs 32,000 So, the correct answer is (c)

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.