MTH302 Assignment # 1 Solution

MTH302 Assignment # 1 Solution

Solution:

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MTH302 Assignment # 3 Solution

MTH302 Assignment # 3 Solution:

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MTH302

Question 1:
Basic Salary of John is 2000$ per month. According to his job contract his allowances are some percentage of basic salary whereas other benefits are percentage of Gross Salary. Details of his benefits are as follows. What percent of Basic/Gross salary are these benefits? (Show the calculations).

BENEFITS $ Percent of Basic/Gross Salary

House Rent 900 House Rent = 45 %= 0.45*2000 = 900

Utilities Allowance 200 Utilities allowance = 2.5 %= 0.025*2000=50

Medical/Group insurance 155 insurance/medical=5% = 0.05*2000 = 100

Miscellaneous Social Charges 186 Misc. Social Charges=5.8% =0.058*2000=116

Question 2:
The price of oil decreased from $76 per barrel to $70 per barrel. What is the percentage change in oil prices?

Solution:

Change = Final value – initial value

// = 76 – 70

//= 6

Percentage change = (Change / initial value) x 100%

Initial value =76$

Final value = 70$

Change = 6

% Change = (6/76) x 100 = 7.8947%

Marks 5
Question 3:


Suppose you took loan from a bank of amount 800£ at 8% interest compounded semi-annually for three years. Find the compound interest.

Solution:

S = Money accrued after n years also called compound amount = ?

P = Principal= 800

r = Rate of interest= 8% = 0.08

n = Number of periods = 3*2= 6 years (Semi annually)

S = P(1 + r/2)^ n

Compound interest = S - P

S= P(1+0.08/2)^3*2

S= 800(1+0.04)^6

S=1012.255 Rs

Compound interest = S - P

Compound interest = 1012.255 – 800 = 212.255 Rs

Marks 5

Question 4:


Calculate the Accumulated Value if you deposit 500Rs at the end of each year for the next 3 years? Assume an interest of 8% compounded annually.
Solution:
Accumulated value of n period = payment per period × accumulation factor for n Periods

Accumulated value of n period = C × [(1+i)^n – 1]/i

C = Cash flow per period = 500

i = interest rate = 8% = 0.08

n = number of payments = 3
= C* [(1+i)^n – 1]/i

= 500* [(1+0.08)^3 – 1]/0.08

= 500* [(1.08)^3 – 1]/0.08

= 500* [1.259712 – 1]/0.08

= 500* [0.259712]/0.08

= 500* 3.2464

=1623.2
Accumulated value of n period = 500 × 3.2464

Accumulated value of n period = 1623.2

MTH302

Q No: Correct Option

1 A

2 A

3 B

4 C

5 B

6 D

7 B

8 B

9 B

10 C

MTH302 GDB

MTH302 GDB Solution:

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MTH302 GDB

1. Determine Variable Unit Costs.

Determine the variable costs of producing one unit of this product. Variable costs are those costs associated with making the product or buying it wholesale. If you are making a product, you will need to know the cost of all the components that go into that product. For example, if you are printing books, your variable unit costs are paper, binding, and glue for one book, and the cost to put one book together. Let's say you calculate your unit variable cost at $11.50.

2. Determine Fixed Costs

Fixed costs are costs to keep your business operating, even if you didn't produce any products. To determine fixed costs, add up the cost of running your factory for one month. These costs would include rent or mortgage, utilities, insurance, salaries retirement benefit cost of non-production employees, and all other costs. In other words, fixed costs are all costs of your business except those directly related to producing your products. Let's say you determine your monthly total fixed cost at $25,000.

3. Determine Unit Price

Determine the unit price for your product. This price may change as you see where your break-even point is, keeping in mind the damage of equipment and other unexpected expenses, and also desired profit, for now let's say your unit price is $25.00 per book.

Breakeven Point = Fixed Costs/(Unit Selling Price - Variable Costs) =25000/(25-11.5) =1851.851

The above mention calculation provides good profit range from which company can set aside desired amount that will collect interest or purchase annuities.

MTH302

MTH302 Assignment Solution:

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MTH302 Quiz

MTH302 Quiz Solution:

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MTH302 Sol

Business Math & Statistics(MTH302)
Assignment # 3

Fall 2009
Question Number Correct Option
1 A
2 B
3 C
4 D
5 D
6 C

7 D

8 D
9 B
10 D

MTH302

MTH302 Assignment#3 Solution
Question 1: Marks: 2

The price of three house items is Rs. 30,000 and series discounts are: 5%, 10%, and 15%. What is the net price?

a) 30,000(1-0.15)(1-0.10)(1-0.05)
b) 30,000(1+ 0.15)(1 + 0.10)(1 +0.05)
c) 30,000(0.15)(0.10)(0.05)
d) 30,000(0.15+ 0.10 + 0.05)

Question: 2 Marks: 2

A shopkeeper reduces the prices of cooking oil per liter from Rs.175 to Rs.150. What will be its markdown in rupees and %markdown?


a) 75 and 16.67% respectively
b) 25 and 14.28 % respectively
c) 25 and 16.67% respectively
d) 50 and 28.5 % respectively


Question: 3 Marks: 2

Saud bought a TV set for Rs.12000. To make a desired profit he needs a 50% markup on selling price. What is his Rs. Markup?

a) Rs. 6000
b) Rs. 8000
c) Rs. 12000
d) Rs. 4000


Question 4: Marks: 2


Catalogue price of a TV is Rs.10000. How much a customer needs to pay, if two successive discounts of 20% and 20% are available on the TV?

a)
b)
c)
d)


Question: 5 Marks: 2


A digital camera costing $150 was marked up 60% on the cost. For a July 4 sale, it was reduced 25%. After the sale, it was marked up 50%. In September it was reduced 20%. What is the final selling price?

a) $ 225
b) $ 246
c) $ 206
d) $ 216


Question: 6 Marks: 2

Price of an item is Rs.15000 which is available at two successive discounts of 10% and 20% then the single equivalent discount is

a) 32%
b) 30%
c) 28%
d) 25%

Question: 7 Marks: 2


A man bought an article for Rs.21. The marked price of the article if the article was sold at 30% discount was-------
a) Rs. 70
b) Rs. 6.30
c) Rs. 30
d) Rs. 14.70

Question: 8 Marks: 2

What is the markup rate on the selling price of an item that is equivalent to a 10% markup on cost?

a) 10%
b) 8.2%
c) 5.6%
d) 9.1%
.



Question: 9 Marks: 2

If Selling Price of an item is Rs. 1300 and the cost is Rs. 1150, then the margin on the cost is equal to

a) 13.04 %
b) 11.54 %
c) 12.05 %
d) None of these



Question: 10 Marks: 2

Internal rate of return is a ratio in which

a) Benefit cost = 1
b) Benefit cost > 1
c) Benefit cost <>d) None of these