Mth302 solution of assignment 2
Thursday, May 13, 2010 Posted In Mth Edit ThisDifferent solutions of Mth302 assignment 2
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Question 1: Marks 08A flying company offers trips in Europe. The company flies three kinds of airplanes: the Boeing 757, the Boeing 767, and the Boeing 777. Each plane is outfitted with tourist, economy, and first-class seats. In Boeing 757, there are 50 tourist, 30 economy, and 32 first class seats. . In Boeing 767, there are 75 tourist, 45 economy, and 50 first class seats. In Boeing 777, there are 40 tourist, 25 economy, and 30 first class seats.
The number of reservations for its January flight to Germany, 305 reservations for tourist class, 185 Economy class, and 206 first class.
To fill all the seats how many of each kind of plane should the company fly?
Solution:
This solution Send you soon…..first try your self…..
Question: 2 Marks 0
Why the inverse of following matrix is not possible
5 7 1
7 2 4
3 6 9
8 15 10
Solution:
Apply on excel you will find the error.
Question: 3 Marks 0 Write all the steps which are necessary to calculate the inverse of following matrix in Ms Excel and then also write the inverse matrix of given matrix.
5 9 3
7 1 8
1 2 4
Solution:
Steps are in handouts page number 86 Lecture number 11
5 9 3
7 1 8
1 2 4
=MINVERSE(H8:J10)
Question 4: Marks 0
Discuss the importance of determinant of a matrix in evaluation of its inverse. Also state at least two properties of determinants which help in their evaluation.
Solution:
Available in handouts or do net search….
Question 5: Marks 0 Find amount of markup and selling price on an item that costs Rs. 2400 if there is a 40% markup on cost.
Solution:
Rs Markup = %Markup on cost × Cost price Rs Markup = (.40) (2400)
Rs Markup = 960
Selling Price
Then the selling price, being the cost plus markup, that is:
Selling Price = Cost price + Rs Markup
Note: Solve these papers by yourself
Selling price= 2400 + 960 = 3360
Question 6: Marks 0
An item sells for Rs. 3200. If the markup on the cost is 48%, find the cost and the amount of the markup.
Selling Price = Cost price + (Cost price × %Markup on cost)
Selling price = Cost price (1 + %Markup on cost)
3200 = Cost price (1 + 48%)
3200 = Cost price (1.48) Cost price = 3200/Cost price = 216Rs Markup = %Markup on cost × Cost price
Rs Markup = (.48) (2162)
Rs Markup = 1038
Question 7: Marks 0 Find the single discount rate that is equivalent to the series discount of 5%, 7% and 11%.
Let list price = 100
Series trade discount: Net price = List price(1-d1)(1-d2)…..(1-dn) = 100 (1 - .05)(1 - .07)(1 - .11)
= 100(.95)(.93)(.89) =100(.786315) =78.63
Single discount rate = 100 – 78.63
= 21.37%
Question 8: Marks 05
An item that cost Rs. 2300 was marked up 38 % of the selling price. After some time the item is markdown 30 %. Calculate the sale price after markdown.
Solution:
Check handouts page number 122 lectures 16….Example given
Original Sale Price
Let Selling price = 100 %Markup on selling price = 45% Cost = 100 – 45 = 55
Thus Original Sale price = (100/55) x 57.75 = 105Rs
Rs. Markdown
%Markdown = 40% = 0.4
Rs. Markdown = 105 x 0.4 = 42
Sale price after markdown
Sale price after markdown = 105 – 42 = 63 Rs
Q # 8
An item that cost Rs. 2300 was marked up 38 % of the selling price. After some time the item is markdown 30 %. Calculate the sale price after markdown.
Cost=2300
Marked up=38%
So
(2300)(0.38)=874
2300+874=3174
Now
Cost=3174
Mark down=30%
(3174)(0.30)=952.2
3174-952.2=2221.8
Selling price=2221.8
Cost=2300
Marked up=38%
So
(2300)(0.38)=874
2300+874=3174
Now
Cost=3174
Mark down=30%
(3174)(0.30)=952.2
3174-952.2=2221.8
Selling price=2221.8
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Q # 05
Selling Price = Markup + Cost
Markup = 2400 x 40/100 = Rs 960/-
Selling Price = 2400 + 960 = Rs. 3,360/-
Q # 06
Selling Price = C + (C X MUC)
3200 = C (1+MUC)
3200 = C X (1+ 0.48)
= 3200/1.48
Cost Price = Rs. 2,162
Markup = 2162 x 48/100
Markup = Rs. 1037.76/-
Q # 07
SINGLE TRADE DISCOUNT
Net Price = L (1 ΠD)
= 100 (1-.05)(1-.07)(1-.11)
= 100 (.95) (.93) (.89)
= 100 (.7863)
= 78.63
SINGLE DISCOUNT = 100 Π78.63
= 78.63%
Q # 08
Let selling price = 100
%Markup on selling price = 38%
Cost = 100-38 = 62
Thus Orignal Sale Price = (100/62) x 2,300
= Rs. 3,709.677
Rs. Markdown
%Markdown = 30%
Rs. Markdown = 3709.677 x .30 = Rs. 1,112.903
Sale price after Markdown = 3,709.677 Π1,112.903
= Rs. 2,596.774/-
Selling Price = Markup + Cost
Markup = 2400 x 40/100 = Rs 960/-
Selling Price = 2400 + 960 = Rs. 3,360/-
Q # 06
Selling Price = C + (C X MUC)
3200 = C (1+MUC)
3200 = C X (1+ 0.48)
= 3200/1.48
Cost Price = Rs. 2,162
Markup = 2162 x 48/100
Markup = Rs. 1037.76/-
Q # 07
SINGLE TRADE DISCOUNT
Net Price = L (1 ΠD)
= 100 (1-.05)(1-.07)(1-.11)
= 100 (.95) (.93) (.89)
= 100 (.7863)
= 78.63
SINGLE DISCOUNT = 100 Π78.63
= 78.63%
Q # 08
Let selling price = 100
%Markup on selling price = 38%
Cost = 100-38 = 62
Thus Orignal Sale Price = (100/62) x 2,300
= Rs. 3,709.677
Rs. Markdown
%Markdown = 30%
Rs. Markdown = 3709.677 x .30 = Rs. 1,112.903
Sale price after Markdown = 3,709.677 Π1,112.903
= Rs. 2,596.774/-
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QUESTION # 2 Marks 0
Why the inverse of following matrix is not possible?
SOLUTION
Because the number of rows and columns are not equal.
QUESTION # 3 Marks 0
Write all the steps which are necessary to calculate the inverse of following matrix in Ms Excel and then also write the inverse matrix of given matrix.
SOLUTION
Enter data in cells A1:C3.
Click on cell A4.
Keeping left mouse button pressed, drag it to cell C6.Four cells will be selected.
Press F2 from keyboard.
Type the formula =MINVERSE(A1:C3).This will appear in cell A4.
Press Ctrl, Shift, Enter keys simultaneously from keyboard.
Multiplicative inverse of the matrix will appear in cells A4,B4,C4 & A5,B5,C5 &
A6,B6,C6.
Inverse Matrix is:
0.059701 0.149254 -0.34328
0.099502 -0.08458 0.094527
-0.06468 0.004975 0.288557
QUESTION # 4 Marks 0
Discuss the importance of determinant of a matrix in evaluation of its inverse. Also state at least two properties of determinants which help in their evaluation.
SOLUTION
QUESTION # 5 Marks 0
Find amount of markup and selling price on an item that costs Rs. 2400 if there is a 40% markup on cost.
SOLUTION
Selling Price = Cost + (Cost * % Markup on Cost)
Markup = 2400 * (40/100) = Rs. 960
Selling Price = 2400 + 960 = Rs. 3360
QUESTION # 6 Marks 0
An item sells for Rs. 3200. If the markup on the cost is 48%, find the cost and the amount of the markup.
SOLUTION
Selling Price = Cost + (Cost * % Markup on Cost)
Selling Price = Cost + (1 + % Markup on Cost)
3200 = Cost + (1 + 0.48)
Cost = 3200/1.48 = Rs 2162
Markup = 2162 * (48/100) = Rs. 1037.76
QUESTION # 7 Marks 0
Find the single discount rate that is equivalent to the series discount of 5%, 7% and 11%.
SOLUTION
Let List Price = L = 100
Net Price = 100(1-0.05)(1-0.07)(1-0.11)
Net Price = 100 * 0.7863
Net Price = 78.63
Single Discount = 100 – 78.63 = 21.37%
QUESTION # 8 Marks 05
An item that cost Rs. 2300 was marked up 38 % of the selling price. After some time the item is markdown 30 %. Calculate the sale price after markdown.
SOLUTION
Let the selling price = 100
% markup on selling price = 38%
Cost = 100 – 38 = 62
Original sale price = (100/62) * 2300 = Rs. 3709.677
% markdown = 30%
Markdown = 3709.677 * 0.30 = Rs. 1112.903
Sale price after markdown = 3709.677 – 1112.903 = Rs. 2596.774
Why the inverse of following matrix is not possible?
SOLUTION
Because the number of rows and columns are not equal.
QUESTION # 3 Marks 0
Write all the steps which are necessary to calculate the inverse of following matrix in Ms Excel and then also write the inverse matrix of given matrix.
SOLUTION
Enter data in cells A1:C3.
Click on cell A4.
Keeping left mouse button pressed, drag it to cell C6.Four cells will be selected.
Press F2 from keyboard.
Type the formula =MINVERSE(A1:C3).This will appear in cell A4.
Press Ctrl, Shift, Enter keys simultaneously from keyboard.
Multiplicative inverse of the matrix will appear in cells A4,B4,C4 & A5,B5,C5 &
A6,B6,C6.
Inverse Matrix is:
0.059701 0.149254 -0.34328
0.099502 -0.08458 0.094527
-0.06468 0.004975 0.288557
QUESTION # 4 Marks 0
Discuss the importance of determinant of a matrix in evaluation of its inverse. Also state at least two properties of determinants which help in their evaluation.
SOLUTION
QUESTION # 5 Marks 0
Find amount of markup and selling price on an item that costs Rs. 2400 if there is a 40% markup on cost.
SOLUTION
Selling Price = Cost + (Cost * % Markup on Cost)
Markup = 2400 * (40/100) = Rs. 960
Selling Price = 2400 + 960 = Rs. 3360
QUESTION # 6 Marks 0
An item sells for Rs. 3200. If the markup on the cost is 48%, find the cost and the amount of the markup.
SOLUTION
Selling Price = Cost + (Cost * % Markup on Cost)
Selling Price = Cost + (1 + % Markup on Cost)
3200 = Cost + (1 + 0.48)
Cost = 3200/1.48 = Rs 2162
Markup = 2162 * (48/100) = Rs. 1037.76
QUESTION # 7 Marks 0
Find the single discount rate that is equivalent to the series discount of 5%, 7% and 11%.
SOLUTION
Let List Price = L = 100
Net Price = 100(1-0.05)(1-0.07)(1-0.11)
Net Price = 100 * 0.7863
Net Price = 78.63
Single Discount = 100 – 78.63 = 21.37%
QUESTION # 8 Marks 05
An item that cost Rs. 2300 was marked up 38 % of the selling price. After some time the item is markdown 30 %. Calculate the sale price after markdown.
SOLUTION
Let the selling price = 100
% markup on selling price = 38%
Cost = 100 – 38 = 62
Original sale price = (100/62) * 2300 = Rs. 3709.677
% markdown = 30%
Markdown = 3709.677 * 0.30 = Rs. 1112.903
Sale price after markdown = 3709.677 – 1112.903 = Rs. 2596.774
......................................
Question 4: Marks 0
Discuss the importance of determinant of a matrix in evaluation of its inverse. Also state at least two properties of determinants which help in their evaluation.
Solution:
Available in handouts or do net search….
Question 5: Marks 0
Find amount of markup and selling price on an item that costs Rs. 2400 if there is a 40% markup on cost.
Solution:
Rs Markup = %Markup on cost × Cost price
Rs Markup = (.40) (2400)
Rs Markup = 960
Selling Price
Then the selling price, being the cost plus markup, that is:
Selling Price = Cost price + Rs Markup
Selling price= 2400 + 960 = 3360
Question 6: Marks 0
An item sells for Rs. 3200. If the markup on the cost is 48%, find the cost and the amount of the markup.
Selling Price = Cost price + (Cost price × %Markup on cost)
Selling price = Cost price (1 + %Markup on cost)
3200 = Cost price (1 + 48%)
3200 = Cost price (1.48)
Cost price = 3200/1.48
Cost price = 2162
Rs Markup = %Markup on cost × Cost price
Rs Markup = (.48) (2162)
Rs Markup = 1038
Question 7: Marks 0
Find the single discount rate that is equivalent to the series discount of 5%, 7% and 11%.
Let list price = 100
Series trade discount: Net price = List price(1-d1)(1-d2)…..(1-dn)
= 100 (1 - .05)(1 - .07)(1 - .11)
= 100(.95)(.93)(.89)
=100(.786315)
=78.63
Single discount rate = 100 – 78.63
= 21.37%
Question 8: Marks 05
An item that cost Rs. 2300 was marked up 38 % of the selling price. After some time the item is markdown 30 %. Calculate the sale price after markdown.
Solution:
Check handouts page number 122 lectures 16….Example given
Original Sale Price
Let Selling price = 100
%Markup on selling price = 45%
Cost = 100 – 45 = 55
Thus Original Sale price = (100/55) x 57.75 = 105Rs
Rs. Markdown
%Markdown = 40% = 0.4
Rs. Markdown = 105 x 0.4 = 42
Sale price after markdown
Sale price after markdown = 105 – 42 = 63 Rs.
Discuss the importance of determinant of a matrix in evaluation of its inverse. Also state at least two properties of determinants which help in their evaluation.
Solution:
Available in handouts or do net search….
Question 5: Marks 0
Find amount of markup and selling price on an item that costs Rs. 2400 if there is a 40% markup on cost.
Solution:
Rs Markup = %Markup on cost × Cost price
Rs Markup = (.40) (2400)
Rs Markup = 960
Selling Price
Then the selling price, being the cost plus markup, that is:
Selling Price = Cost price + Rs Markup
Selling price= 2400 + 960 = 3360
Question 6: Marks 0
An item sells for Rs. 3200. If the markup on the cost is 48%, find the cost and the amount of the markup.
Selling Price = Cost price + (Cost price × %Markup on cost)
Selling price = Cost price (1 + %Markup on cost)
3200 = Cost price (1 + 48%)
3200 = Cost price (1.48)
Cost price = 3200/1.48
Cost price = 2162
Rs Markup = %Markup on cost × Cost price
Rs Markup = (.48) (2162)
Rs Markup = 1038
Question 7: Marks 0
Find the single discount rate that is equivalent to the series discount of 5%, 7% and 11%.
Let list price = 100
Series trade discount: Net price = List price(1-d1)(1-d2)…..(1-dn)
= 100 (1 - .05)(1 - .07)(1 - .11)
= 100(.95)(.93)(.89)
=100(.786315)
=78.63
Single discount rate = 100 – 78.63
= 21.37%
Question 8: Marks 05
An item that cost Rs. 2300 was marked up 38 % of the selling price. After some time the item is markdown 30 %. Calculate the sale price after markdown.
Solution:
Check handouts page number 122 lectures 16….Example given
Original Sale Price
Let Selling price = 100
%Markup on selling price = 45%
Cost = 100 – 45 = 55
Thus Original Sale price = (100/55) x 57.75 = 105Rs
Rs. Markdown
%Markdown = 40% = 0.4
Rs. Markdown = 105 x 0.4 = 42
Sale price after markdown
Sale price after markdown = 105 – 42 = 63 Rs.
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Assignment # 2
MTH302 (Spring 2010)
[left]Total marks: 13[/left]
[left]Lecture # 9 to 16[/left]
[left] Due date: 17-05-10[/left]
DON’T MISS THESE Important instructions:
[list]
[*]Upload assignments properly through LMS, (No Assignment will be accepted through email).
[*]All students are directed to use the font and style of text as is used in this document.
[*]This is an individual assignment, not ***** assignment, so keep in mind that you are supposed to submit your own, self made & different assignment even if you discuss the questions with your class fellows. All similar assignments (even with some meaningless modifications) will be awarded zero marks and no excuse will be accepted. This is your responsibility to keep your assignment safe from others. Many solution files sent by students in assignment 1 are found to be copied and so awarded zero. You are therefore reminding here again.
[*]Above all instructions are for all assignments so may not be mentioned in future.
[*]Question # 2, 3, 4, 5, 6 and 7 doesn’t have any marks, it is for your pre-assessment, solve it, see its solution (when uploaded) but you need not include these questions in solution file.
Question 1: Marks 08
A flying company offers trips in Europe. The company flies three kinds of airplanes: the Boeing 757, the Boeing 767, and the Boeing 777. Each plane is outfitted with tourist, economy, and first-class seats. In Boeing 757, there are 50 tourist, 30 economy, and 32 first class seats. . In Boeing 767, there are 75 tourist, 45 economy, and 50 first class seats.
In Boeing 777, there are 40 tourist, 25 economy, and 30 first class seats.
The number of reservations for its January flight to Germany, 305 reservations for tourist class, 185 Economy class, and 206 first class.
To fill all the seats how many of each kind of plane should the company fly?
Question: 2 Marks 0
Why the inverse of following matrix is not possible
Question: 3 Marks 0
Write all the steps which are necessary to calculate the inverse of following matrix in Ms Excel and then also write the inverse matrix of given matrix.
Question 4: Marks 0
Discuss the importance of determinant of a matrix in evaluation of its inverse. Also state at least two properties of determinants which help in their evaluation.
Question 5: Marks 0
Find amount of markup and selling price on an item that costs Rs. 2400 if there is a 40% markup on cost.
Question 6: Marks 0
An item sells for Rs. 3200. If the markup on the cost is 48%, find the cost and the amount of the markup.
Question 7: Marks 0
Find the single discount rate that is equivalent to the series discount of 5%, 7% and 11%.
Question 8: Marks 05
An item that cost Rs. 2300 was marked up 38 % of the selling price. After some time the item is markdown 30 %. Calculate the sale price after markdown.
MTH302 (Spring 2010)
[left]Total marks: 13[/left]
[left]Lecture # 9 to 16[/left]
[left] Due date: 17-05-10[/left]
DON’T MISS THESE Important instructions:
[list]
[*]Upload assignments properly through LMS, (No Assignment will be accepted through email).
[*]All students are directed to use the font and style of text as is used in this document.
[*]This is an individual assignment, not ***** assignment, so keep in mind that you are supposed to submit your own, self made & different assignment even if you discuss the questions with your class fellows. All similar assignments (even with some meaningless modifications) will be awarded zero marks and no excuse will be accepted. This is your responsibility to keep your assignment safe from others. Many solution files sent by students in assignment 1 are found to be copied and so awarded zero. You are therefore reminding here again.
[*]Above all instructions are for all assignments so may not be mentioned in future.
[*]Question # 2, 3, 4, 5, 6 and 7 doesn’t have any marks, it is for your pre-assessment, solve it, see its solution (when uploaded) but you need not include these questions in solution file.
Question 1: Marks 08
A flying company offers trips in Europe. The company flies three kinds of airplanes: the Boeing 757, the Boeing 767, and the Boeing 777. Each plane is outfitted with tourist, economy, and first-class seats. In Boeing 757, there are 50 tourist, 30 economy, and 32 first class seats. . In Boeing 767, there are 75 tourist, 45 economy, and 50 first class seats.
In Boeing 777, there are 40 tourist, 25 economy, and 30 first class seats.
The number of reservations for its January flight to Germany, 305 reservations for tourist class, 185 Economy class, and 206 first class.
To fill all the seats how many of each kind of plane should the company fly?
Question: 2 Marks 0
Why the inverse of following matrix is not possible
Question: 3 Marks 0
Write all the steps which are necessary to calculate the inverse of following matrix in Ms Excel and then also write the inverse matrix of given matrix.
Question 4: Marks 0
Discuss the importance of determinant of a matrix in evaluation of its inverse. Also state at least two properties of determinants which help in their evaluation.
Question 5: Marks 0
Find amount of markup and selling price on an item that costs Rs. 2400 if there is a 40% markup on cost.
Question 6: Marks 0
An item sells for Rs. 3200. If the markup on the cost is 48%, find the cost and the amount of the markup.
Question 7: Marks 0
Find the single discount rate that is equivalent to the series discount of 5%, 7% and 11%.
Question 8: Marks 05
An item that cost Rs. 2300 was marked up 38 % of the selling price. After some time the item is markdown 30 %. Calculate the sale price after markdown.
