Mathematical
Literacy
NQF 4
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Mathematical Literacy Level 4 Module 7
Level 4 Mathematical Literacy study guide, 31 pages. Read online or get the free PDF download.
Subject: Mathematical LiteracyMultiple grades31 pages
Mathematical Literacy. Study guide, 31 pages. Read online or download the PDF.
- Subject
- Mathematical Literacy
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- Curriculum
- TVET
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Financial documents and
processes
Module 7
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Overview
7.1 Financial documents for business: income and
expenditure
7.2 Cash flow, budgets and financial statements
7.3 Income, costs and the break-even point
7.4 Inflation
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Financial documents for business:
income and expenditure
Unit 7.1
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Bank Statements
Unit 7.1
Bank statements
Bank statements provide a record of all income and expenditure for
a given period.
”
• The financial documents like invoices and receipts are used to check that
the income and expenditure is correctly reflected on the bank
statements.
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Exercise 7.1
Unit 7.1
Complete Exercise 7.1 on page 155 of your Student’s Book
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Cash flow, budgets and financial
statements
Unit 7.2
A business uses a budget, income and expenditure statement and a
balance sheet to manage its finances:
Business Budget:
A document used to plan expected income and expenditure
Income/expenditure statement:
A document to measure financial performance for a specific time period
Balance sheet:
A document that shows business assets, business liabilities and owners’
equity.
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Cash flow, budgets and financial
statements
Unit 7.2
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Example 7.4 page 157
Unit 7.2
StyleGirlz Hair Studio is a busy hairdresser in a shopping mall.
• The company makes their income from sales (selling hair
products and equipment) and services (hair cuts, styling,
coloring)
• They own hairdressing equipment (e.g. hairdryers, basins,
scissors)
• They owe R72 320 on the company vehicle.
• There are 15 employees. Some of them earn commission.
• The variable expenses are commissions, staff training,
repairs to equipment, purchase of consumable goods,
telecommunications accounts, municipal accounts and taxes
• The fixed expenses include insurance fees, salaries and
rental.
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Example 7.4 page 157
Unit 7.2
This is the budget for one month, for StyleGirlz:
Budget: March 2018
March 2017 Actual March 2018 Estimate
Expenditure
Rental R11 200,00 R12 350,00
Municipality account R2 755,00 R3 200,00
Telecommunications bill R943,00 R1 100,00
Salaries R38 750,00 R45 420,00
Staff training R0,00 R2 200,00
Hair products R4 870,00 R5 230,00
Equipment repair R0,00 R850,00
SARS R12 800,00 R18 600,00
Insurance premium R490,00 R550,00
Total expenditure R71 808,00 R89 500,00
Income
Services R86 570,00 R92 000,00
Product sales R13 255,00 R16 000,00
Total income R99 825,00 R108 000,00
The budget is an important document. It ensures that the
business makes informed financial decisions.
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Example 7.4 page 157
Unit 7.2
• The accountant considers last year’s actual income and
expenditure when estimating the current year’s
income and expenditure.
• Other factors affect the budget. These include the
economic situation of the country and whether there
is a special event that could affect the business.
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Example 7.4 page 157
Unit 7.2
Answer the questions in your team, then compare your
answers with the solutions given.
1. a) The budget includes the actual amounts for the
same period last year. Explain how this is
useful.
b) Calculate the estimated percentage increase in
income for the period. Give your answer to one
decimal place.
c) Does the total expenditure increase by the
same percentage? Show your calculations to
support your answer.
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Completing a table of values by
using the formula or a description
Unit 7.2
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Maths Lit NQF Level 4
Budgets, actuals and variance
Unit 7.2
Budget
The estimated values of a company’s income and expenditure.
Variance ”
The difference between the estimated values in a budget statement
and the actual values found in the income and expenditure
statement.
”
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Example 7.5 page 161
Unit 7.2
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Exercise 7.2
Unit 7.2
Complete Exercise 7.2 on page 163 of your Student’s Book
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Income, costs and break-even point
Unit 7.3
The aim of any business is to make a profit.
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Link between cost of sales and
business
Unit 7.3
expenditure
“ The aim of any business
is to make a profit.
”
The income must be greater than the expenses (costs).
• Some business costs are fixed.
• Some operational costs are variable, but they can be estimated quite
accurately e.g. municipal bills and telecommunications costs.
• For accounting purposes, operational costs are regarded as fixed costs.
• The cost of sales increases when sales or services increase.
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Break-even point
Unit 7.3
Break-even point
This is the value where all costs are covered by the income but no
profit is made.
• The break-even point is also the point where the income and
”
expenditure are equal.
• Units sold after the break-even point has been reached are profit for the
business.
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Break-even point continued …
Unit 7.3
Study the information in the spreadsheet.
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Break-even point continued …
Unit 7.3
Refer to the spreadsheet:
• No matter how many days of the month the factory is in operation, the
operational costs stay the same.
• Cost of production:
Cost of ingredients & metal for the cans + cost of running the machinery.
• Cost of producing 12 500 cans per day over a period of 2 days:
Operational costs + cost of ingredients & metal + cost of running
machinery
= R42 800 + [2 × (12 500 × R1,29)] + (2 × R9 376)
= R42 800 + R32 250 + R18 752
= R93 802
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Break-even point continued …
Unit 7.3
• Cost of producing 1 can when 12 500 cans are produced per day over a
period of 2 days:
= R93 802 ÷ (2 × 12 500) = R93 802 ÷ 25 000 = R3,76
• Income for selling 25 000 cans @ R3,30 each
= 25 000 × R3,30 = R82 500
• Profit = income – expenses
= R82 500 – R93 802 = − R11 302
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Break-even point continued …
Unit 7.3
• The business runs at a loss if they only produce 25 000 units in the
month.
• The break-even point is reached between 25 000 and 37 500 units (on
the third day). It is easier to estimate the break-even point on a graph.
Expense = Income
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Break-even point continued …
Unit 7.3
• Production is measured in units per day.
• The spreadsheet and the graph show that by the end of Day 2, the
business is still running at a loss.
• By the end of Day 3 the business is running at a profit.
• This means that the break-even point is reached on Day 3. The
spreadsheet shows that the business has to sell more than 35 000 cans
before it makes a profit. In fact, the business has to sell 35288 units
before it makes a profit.
• If the selling price is increased, the break-even point will be reached
sooner.
• The business can increase the selling price only if the market will accept
the higher price.
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Exercise 7.3
Unit 7.3
Complete Exercise 7.3 on page 169 of your Student’s Book
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Inflation
Unit 7.4
Inflation
Inflation refers to the gradual increase in the price of goods and
services over time.
”
• As prices increase, we are able to buy less with the same amount of
money. This means that our buying power decreases.
• Inflation is measured as a percentage.
• In March 2017 the rate of inflation was 6,13%. So if a manufacturer
needs to buy a product annually, they must budget for 6,13% more than
they paid in March 2016.
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Calculating Inflation
Unit 7.4
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Example 7.7 page 171
Unit 7.4
• StyleGirlz Hair Salon spent R465 000 on salaries in 2017.
They give their staff an inflation-linked increase of 6% in
2018. Calculate how much they would budget for salaries
in 2018.
• R465 000 + (6% of R465 000)
= R465 000 + R27 900
= R492 900
They would spend R492 900 on salaries.
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Exercise 7.4
Unit 7.4
Complete Exercise 7.4 on page 171 of your Student’s Book
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Module assessment
Module 7
Complete Module assessment on page 173 of your Student’s Book
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