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Business Mathematics and Statistics
Jason (nyx126@163.com)
ZJBTI
Personal Information
Office: 15C6
Cell Phone: 13185912679
QQ: 502693821
Email: nyx126@163.com
What will we be expected to learn?
Course Description
1. Business Maths
2. Statistics
3. English
Course Arrangement
Progress:
50 hrs 12.5 weeks
Assessment:
1. Daily performance (30%) 2. Final Examinations (70%)
 Tests (~2 hours)
 Class performance
(discussion, practice, assignments)
Business Maths
1. Basic Business Mathematics
2. The Time Value of Money
a. Simple Interest
b. Compound Interest
c. Annuities
d. Discounted Cashflow Analysis
Statistics
1. Presentation of Data
2. Measures of Central Tendency
3. Measures of Dispersion
4. The Normal Distribution
5. Measures of Correlation and Regression
6. Index Numbers
7. Time Series Analysis
Suggested Further Reading Materials
1. Calculus
2. Linear Algebra
3. Probability and Statistics
4. Operational Research
Software
1. Excel
2. SPSS
3. SAS/STAT
4. Matlab
Topic 0 Preparation
1.Expressions
2.Calculation
Topic 1 Basic Business Maths
1.Mark-up
2.Margin
3.Markdown
4.Discount
5.Commission
6.Tax
7.GST*
What is the main concern of a company?
Profit
Profit = Selling Price - Cost Price
Topic 1 Basic Business Maths
1. Mark-up
An amount added to the cost price and is
expressed as the percentage of the cost price
cost price
cost price
Mark-Up(%)=
Profit
Cost Price
Selling Price-Cost Price
Cost Price

Formula Transformation
SP= CP(1+MR)
CP=
SP
1+MR
2. Margin
An amount added to the selling price and is
expressed as the percentage of the selling price
selling price
selling price
Margin(%)=
Profit
Selling Price
Selling Price-Cost Price
Selling Price

Formula Transformation
CP= SP(1-PM)
SP=
CP
1-PM
3. Mark down
A reduction from the existing price.
Marked-Down Price=Original Price (1-MR)

4. Discount
A reduction on the selling price (list price).
Discounted Price=Selling Price (1-Discount Rate)

Compare:
Discount Discounted Price
Types of Discount
1. Cash Discount
2. Trade Discount
3. Chain Discount
4. Volume Discount
Discount Price=Selling Price (1-Discount Rate)

1 2 3
Discount Price=SP (1-DR ) (1-DR ) (1-DR )......
  
5. Commission
This is an incentive for a salesman to sell more,
work harder.
Commission=Sales Commission Rate

Commission
Sales=
Commission Rate
1. Commission Only
2. Retainer + Commission
Total Remuneration (Earnings) =
Total Remuneration (Earnings) =
3. Multiple commission
(Sliding Scale of Commission)
S × CR
Types of Earning(3)
R + S × CR
You are offered the choice of being paid
commission only at 10% on all sales or a
salary of $1,000 per month plus
commission of 5% on sales. Which would
you choose?
Package 1:
$18,000 × 10% = $1,800
Sales: $18,000 in a month
Package 2:
$1,000 + $18,000 × 5% = $1,900
At what point can the two packages make
the same amount of earnings?
S × 10% = $1,000 + S × 5%
S = $20,000
The sales level at which it would make no
difference which package you choose is called the
Indifference Point.
Commission only OR Retainer + Commission
Indifference Point
6. Tax
PAYG
GST
Company Tax
Australian Taxation Office State Administration of Taxation
A broad-based consumption tax (10%) on
goods, services, and anything else, including
imports, consumed in Australia. Paid by the final
consumers.
There are exemptions for some items:
most educational courses
health food
fresh food
GST
GST
2. Price(incGST) = Price(exGST) + GST= Price(exGST)(1+10%)
1. GST = Price (exGST)×10%
3. Price(incGST) = Price(exGST) × 110%
Price(incGST) = Price(exGST) + GST
= Price(exGST) + Price(exGST) ×10%
= Price(exGST) ×(1 + 10%)
= Price(exGST) ×110%
GST = Price(exGST) × 10%
1
P rice(incGST)
11
 
Pr ice(incGST)
10%
110%
 
1
4.GST Price(incGST)
11
 
Company Tax = Taxable Profit ×30%
A Company is required to pay Company
Tax at a Rate of 30% of Taxable Profit.
material
Company Tax
Calculate the tax based on the level or bracket
of income the taxpayer is in.
PAYG (Pay As You Go)
Taxable Income Tax on this income
$1 - $6,000 Nil
$6,001 - $35,000 15c for each $1 over $6,000
$35,001 - $80,000 $4,350 plus 30c for each $1 over $35,000
$80,001 - $180,000 $17,850 plus 38c for each $1 over $80,000
$180,001 and over $55,850 plus 45c for each $1 over $180,000

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Business Mathematics.ppt

  • 1. Business Mathematics and Statistics Jason (nyx126@163.com) ZJBTI
  • 2. Personal Information Office: 15C6 Cell Phone: 13185912679 QQ: 502693821 Email: nyx126@163.com
  • 3. What will we be expected to learn? Course Description 1. Business Maths 2. Statistics 3. English
  • 4. Course Arrangement Progress: 50 hrs 12.5 weeks Assessment: 1. Daily performance (30%) 2. Final Examinations (70%)  Tests (~2 hours)  Class performance (discussion, practice, assignments)
  • 5. Business Maths 1. Basic Business Mathematics 2. The Time Value of Money a. Simple Interest b. Compound Interest c. Annuities d. Discounted Cashflow Analysis
  • 6. Statistics 1. Presentation of Data 2. Measures of Central Tendency 3. Measures of Dispersion 4. The Normal Distribution 5. Measures of Correlation and Regression 6. Index Numbers 7. Time Series Analysis
  • 7. Suggested Further Reading Materials 1. Calculus 2. Linear Algebra 3. Probability and Statistics 4. Operational Research
  • 8. Software 1. Excel 2. SPSS 3. SAS/STAT 4. Matlab
  • 10. Topic 1 Basic Business Maths 1.Mark-up 2.Margin 3.Markdown 4.Discount 5.Commission 6.Tax 7.GST*
  • 11. What is the main concern of a company? Profit Profit = Selling Price - Cost Price Topic 1 Basic Business Maths
  • 12. 1. Mark-up An amount added to the cost price and is expressed as the percentage of the cost price cost price cost price Mark-Up(%)= Profit Cost Price Selling Price-Cost Price Cost Price 
  • 14. 2. Margin An amount added to the selling price and is expressed as the percentage of the selling price selling price selling price Margin(%)= Profit Selling Price Selling Price-Cost Price Selling Price 
  • 16. 3. Mark down A reduction from the existing price. Marked-Down Price=Original Price (1-MR) 
  • 17. 4. Discount A reduction on the selling price (list price). Discounted Price=Selling Price (1-Discount Rate)  Compare: Discount Discounted Price
  • 18. Types of Discount 1. Cash Discount 2. Trade Discount 3. Chain Discount 4. Volume Discount Discount Price=Selling Price (1-Discount Rate)  1 2 3 Discount Price=SP (1-DR ) (1-DR ) (1-DR )......   
  • 19. 5. Commission This is an incentive for a salesman to sell more, work harder. Commission=Sales Commission Rate  Commission Sales= Commission Rate
  • 20. 1. Commission Only 2. Retainer + Commission Total Remuneration (Earnings) = Total Remuneration (Earnings) = 3. Multiple commission (Sliding Scale of Commission) S × CR Types of Earning(3) R + S × CR
  • 21. You are offered the choice of being paid commission only at 10% on all sales or a salary of $1,000 per month plus commission of 5% on sales. Which would you choose? Package 1: $18,000 × 10% = $1,800 Sales: $18,000 in a month Package 2: $1,000 + $18,000 × 5% = $1,900 At what point can the two packages make the same amount of earnings? S × 10% = $1,000 + S × 5% S = $20,000
  • 22. The sales level at which it would make no difference which package you choose is called the Indifference Point. Commission only OR Retainer + Commission Indifference Point
  • 23. 6. Tax PAYG GST Company Tax Australian Taxation Office State Administration of Taxation
  • 24. A broad-based consumption tax (10%) on goods, services, and anything else, including imports, consumed in Australia. Paid by the final consumers. There are exemptions for some items: most educational courses health food fresh food GST
  • 25. GST 2. Price(incGST) = Price(exGST) + GST= Price(exGST)(1+10%) 1. GST = Price (exGST)×10% 3. Price(incGST) = Price(exGST) × 110% Price(incGST) = Price(exGST) + GST = Price(exGST) + Price(exGST) ×10% = Price(exGST) ×(1 + 10%) = Price(exGST) ×110% GST = Price(exGST) × 10% 1 P rice(incGST) 11   Pr ice(incGST) 10% 110%   1 4.GST Price(incGST) 11  
  • 26. Company Tax = Taxable Profit ×30% A Company is required to pay Company Tax at a Rate of 30% of Taxable Profit. material Company Tax
  • 27. Calculate the tax based on the level or bracket of income the taxpayer is in. PAYG (Pay As You Go) Taxable Income Tax on this income $1 - $6,000 Nil $6,001 - $35,000 15c for each $1 over $6,000 $35,001 - $80,000 $4,350 plus 30c for each $1 over $35,000 $80,001 - $180,000 $17,850 plus 38c for each $1 over $80,000 $180,001 and over $55,850 plus 45c for each $1 over $180,000