Activity 1: Water Tariffs

1.1 The table below show the water tariffs for Cape Town and Johannesburg. Study the table below
and answer the questions which follow.
CAPE TOWN:
STEP Kilolitres (kℓ) used Old tariff New tariff Percentage (%)
(2016) (2017) increase
1 0–6 R0,00 R4,56 New
2 6 – 10,5 R16,54 R17,75 7,3
3 10,5 – 20 R23,54 R25,97 10,3
4 20 – 35 R40,96 R43,69 6,6
5 35 – 50 R66,41 R113,99 71,6
6 > 50 R200,10 R302,24 51
JOHANNESBURG
STEP Kilolitres (kℓ) used Old tariff New tariff Percentage (%) increase
(2016) (2017)
1 0–6 R0,00 R7,14 New
2 6 – 10 R7,14 R7,58 6,2
3 10 – 15 R12,07 R13,17 9,1
4 15 – 20 R17,65 R19,63 11,2
5 20 – 30 R24,03 R26,96 12,2
6 30 – 40 R25,81 R29,22 13,2
7 40 – 50 R32,27 R37,11 18
8 > 50 R38,72 20
Adapted from www.graphics24,co.za
1.1.1 Arrange Cape Town’s percentage increase in ascending order. (2)
1.1.2 Determine in which ONE of the two cities water is less expensive. (2)
1.1.3 Calculate the cost of 5 kℓ of water in Cape Town in 2017. (2)
1.1.4 Calculate the cost of 21 kℓ of water in Johannesburg in 2017 (6)

1.2 In the first month of living on her own, Susan used 38 kℓ of water. TABLE 2 shows the
residential water tariffs including VAT. The tariffs shown has increased by 5,5% from
the previous year.
TABEL 2: NEW RESIDENTIAL AND COMMERCIAL WATER TARIFFS

Use TABLE 2 to answer the questions that follow.

1.2.1 Calculate the previous tariff for more than 60 kℓ, before the 5,5%
increase. (3)
1.2.2 Determine the amount Susan will have to pay for 38 kℓ water used. (6)
1.3 A certain municipality has the two different tariff structures for water. One structure is for
normal times when there are no water restrictions. The other structure is for dry times with
water restrictions, when people have to pay more for water.

Normal With restrictions

Usage (kilolitre) Charge per kilolitre Charge per kilolitre
1 0-6 R0,00 R8,35
2 +6 - 15 R8,35 R10,16
3 +15 - 30 R10,16 R12,53
4 +30 - 45 R12,53 R12,98
5 +45 - 60 R12,98 R14,34
6 60+ R14,34 R20
E.g. for a household using 18 k water during normal times the cost can be calculated as
follows:

Usage Charge/ k Cost in Rand

First 6 k Free 0,00
Next 9 k R8,35 per k 75,15
Next 3 k R10,16 per k 30,48
TOTAL 105,63

1.3.1 How much more would a household using 18 k water have to pay during
times when water restrictions are imposed? (5)

1.3.2 If a household pay R200 for water during normal times, calculate the number
of k used. Round your answer off to the nearest whole number. (4)
Activity 2: Electricity Tariffs
1.1 Marisel stays in Bethlehem (Dihlabeng municipality) and she uses prepaid electricity.
The tariffs for prepaid electricity in the Dihlabeng Municipality are:
Prepaid electricity (Including VAT)
Domestic (kWh) Cost per kWh (R)
0 - 50 0,7986
51 - 350 1,0755
351 - 600 1,4356
> 600 1,5735

1.1.1 Show that the cost for 45 kWh of electricity is R35,94. (2)

1.1.2 Calculate the cost of Marisel’s electricity if she uses 240 kWh of
electricity during a particular month. (3)

1.2 Paul who lives in Umhlathuze district municipality uses the table below to determine
residential Electricity consumption for 2019/2020 financial year.

TABLE 1: RESIDENTIAL ELECTRICITY CONSUMPTION CHARGES

BLOCK Range (kWh) Charge/ kWh (Excl. Charge/ kWh (Incl.

VAT) VAT)
1 0 - 50 0,7298 0,8393
2 51 – 350 0,9373 1,0779
3 351 – 600 A 1,5351
4 601 – 1 500 1,3961 1,6055
5 ˃ 1 500 1,5931 1,8321
[Source: www.umhlathuze.gov.za]
NOTE: VAT is 15%

Use the information above to answer the following questions:

1.2.1 What does the abbreviation VAT stand for? (2)

1.2.2 Calculate the value of A. (3)

1.2.3 Paul used 300 kWh of electricity. Calculate what he was charged including
VAT. (3)

1.2.4 End of January 2020 Paul paid R861, 50 including VAT. Calculate the
amount of electricity consumed. (8)
1.3 Electricity can be purchased from Eskom in two ways, prepaid and post-paid. Below
is an adapted, comparative table to answer the questions that follow.

1.3.1 Determine the fixed monthly cost for the prepaid system. (2)

1.3.2 If a household uses 286 kWh of electricity on the post-paid system,

how much would they pay for their electricity consumption, excluding (5)
VAT?

1.3.3 A household bought electricity for R720, including VAT, on the

prepaid system. Determine how much electricity they can use. (5)

1.4 Mr Amoti studied his electricity bill and saw that he used 690 kWh of energy for the previous
month. TABLE 2 below shows the electricity tariffs for flats / houses in the local municipality
where Mr Amoti lives.

Use the information in TABLE 2 above to answer the questions that follow.

1.4.1 Write down the monthly service charge (in Rands) to be paid for a flat or
house. (2)

1.4.2 Calculate the electricity bill (in Rands) for Mr Amoti for the previous month. (5)

1.4.3 Calculate the VAT amount included in the electricity bill paid for a domestic
use of 690 kWh of energy. (3)
Activity 3: Transport Tariffs

1.1 The Mdletshe family that lives in Johannesburg wants to fly to Cape Town for a
weekend. They will park their car in one of the parking bays available at the airport.
The following tables show the rates for two of the parking bay options, namely
Parkade P6 and P7, at the airport.

P6 Shaded Parkade: Long stay P7 Open Parkade: Pick-up/drop-off

parking
Parking fees for this area: Parking fees for this area:
0 – 24 hours: R85,00 20 min to 1 hour: R30,00
1 – 2 hours: R60,00
Notes: 2 – 3 hours: R90,00
Thereafter R42,00 every 12 hours 3 – 4 hours: R120,00
Lost ticket penalty is R150,00 plus 4 – 5 hours: R150,00
charges listed. 5 – 6 hours: R180,00
6 – 7 hours: R210,00
7 – 8 hours: R240,00
8 – 24 hours: R270,00
Notes:
Thereafter R135,00 per 12 hours or part
thereof. Lost ticket penalty is R150,00
plus charges listed.
1.1.1 Complete the table below, to determine the cost (P) of parking at P6.

(H) Number of hours 12 hours 24 hours 36 hours 48 hours

(P) Cost of parking a b c d
(9)

1.1.2 The equation for calculating the cost of parking in Parkade P6 can be written
as:

Cost of parking = price for first 24 hours + number of 12 hours x price

for every 12 hours thereafter.
(2)
Rewrite the equation by filling in the relevant amount where applicable.

1.1.3 Using the equation above, calculate the cost of parking at P6 for 26 hours. (2)

1.1.4 Refer to the information on Parkade P7:

a. How many hours are there in 3 full days? (2)

b. How much are you paying for the first 24 hours at P7? (2)

c. How many 12 hours are there in 2 full days? (2)

 d. What price will you pay for every 12 hours after the first 24 hours? (2)

e. Calculate the cost of parking for 3 full days at P6 and P7. (3)

f. Which Parkade would be cheaper and by how much? (2)

1.2 Study the following table and answer the questions that follows:
Gautrain Fares
Airport to: Other routes

Sandton, Marlboro, R105,00 Sandton - Marlboro R19,00

Rhodesfield
Rosebank, Park, Midrand R115,00 Sandton - Rhodesfield R25,00
Centurion, Pretoria, Hatfield R125,00 Marlboro - R22,00
Rhodesfield
Same fare applies in other direction

1.2.1 Calculate the weekly cost of using the Gautrain to travel from Sandton to
Rhodesfield and back for 5 days a week (2)

1.2.2 A tourist from USA used the Gautrain from O.R Tambo International Airport and
got off at Marlboro:

a. How much did he pay for this service? (2)

b. He then realized that he should have got off at Sandton and therefore
needed to head back to Sandton on the next train. How much was he
expected to pay for this service? (2)

c. This tourist had loaded his Gautrain Gold card with R300,00 at O.R
Tambo International Airport. How much money was left on his card
when he got to his hotel in Sandton (2)
Activity 4: Telephone Tariffs

1.1 Prince makes calls during business hours and needs to upgrade his cell phone contract.
He has two options to choose from:

Business Contract Prepaid option

Free minutes None None
Monthly
R120 per month None
subscription
Peak time call rates R1, 50 per minute R2, 30 per minute
(or part thereof) (or part thereof)

Use the information above to answer the following questions:

1.1.1 Give one advantage of using the prepaid option. (2)

1.1.2 Write down the monthly subscription fee for the business contract. (2)

1.1.3 Construct the formula that Prince could use to calculate the total cost of using
the business contract in the form:

Total Cost (R) = ……………………. (2)

1.1.4 Calculate the cost of using the phone for 300 minutes per month if he chooses
a contract option. (2)

1.1.5 Identify the dependent and independent variables on the graph. (2)

1.1.6 Write down the type of relationship represented by the prepaid graph and give
a reason for your answer. (3)

1.1.7 A line graph of the Prepaid option is drawn on the answer sheet provided below.
Draw on the same answer sheet and on the same set of axes the business contract
option. (5)
 Cost of using Contract and
pre-paid option
800

700

600

500
Total Cost ( Rands)

400

300

200

100

0
0 50 100 150 200 250 300 350
Total Call Time (Minutes)
Informal Test: Tariffs

1.1 Electricity generated by different sources in South Africa in 2016 are shown in the
pie chart below.

PIE CHART SHOWING ELECTRICITY GENERATED BY DIFFERENT

SOURCES IN SOUTH AFRICA IN 2016:

Use the above information to answer the questions that follow.

1.1.1 Calculate the percentage of electricity generated from other sources. (2)

1.1.2 Determine the Gigawatt hour (GWh) generated from natural gas. (2)

1.1.3 Express the ratio of the energy generated from nuclear to diesel. (2)

1.1.4 Convert the total Gigawatt hour generated by all sources in 2016 into
KWh. (3)
1.2 The electricity tariffs in the municipality area where Jane lives is charged according
to usage on a sliding scale indicated by BLOCKS in the table below.

1.2.1 Determine the total amount (In Rands) that Jane paid for the first 50
kWh used. (3)

1.2.2 Determine the maximum number of kWh to be paid for in the second
block. (2)

1.2.3 Jane used 350 kWh of electricity. Calculate what he was charged
including VAT. (4)
[19]

Marking Guidelines
1.1.1 % of energy produced by Others
= 100% ─ (85,7+5,2+3,2+1,7+0,9+0,9)
= 2,4%
1.1.2 3,2
Natural Gas = 85,7 x 237,006
= 8,85 GWH
1.1.3 Nuclear: Diesel
5,2 : 1,7
1.1.4 Production from coal
= 1 000 000 ×237,006
= 237 006 000 KWh
1.2.1 Rate = R96,61 ÷ 100
= R0,9661 per KWh
Total amount = R 0,9661 × 50
= R48,30
1.2.2 Maximum kWh = 400 - 50
= 350 kWh
1,2,3 First 50 KWh = R 0,9661 × 50
= R48,30
For the next 300 KWh = (125,21 ÷ 100) x 300
= R1,2521 x 300
= R375,63
 Tariffs
Work with the following tariff systems:
• municipal tariffs (e.g. electricity; water; sewage)
• telephone tariffs (e.g. cell phone and fixed line)
• transport tariffs (e.g. bus, taxi and train tariffs)
• bank fees.
In order to:
Calculate costs using given tariffs and/or formulae.
Draw and interpret graphs of various tariffs systems.
Compare two (Grade 11) or more tariff system to determine the most appropriate option for individuals with
particular needs (e.g. comparing pre-paid versus contract cell phone costs) by:
• performing calculations

QUESTION 2
2.1. Umsunduzi Municipality has the following tariff structure for water. Table 1 below indicates the
tariffs for Umsunduzi Municipality for 2023/24:
Table 1: Umsunduzi Municipality-Tariff Structure
Usage (kl) Charge per kl

Block 1 0 - 6 kl Free

Block 2 7 - 10 kl R5,50

Block 3 11 - 15 kl R8,20

Block 4 16 - 20 kl R10,10

Block 5 21 - 30 kl R12,50

Block 6 31 - 40 kl R15,37

Block 7 More than 40 kl R17,23

*All tariffs are VAT inclusive www.Umsunduzimunicipality.co.za

Use the table above table to answer the questions that follow.
2.1.1. Explain the term VAT inclusive according to the context. (2)
2.1.2 Determine the maximum number of kl that can be used in block 2. (2)
2.1.3. If Bobo from Mafakatini used 32kl of water during March 2024. Calculate the total cost (3)
using the table above.

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2.2. Bobo uses prepaid electricity. The table below shows the domestic prepaid electricity charges by
Umsunduzi Municipality.
Umsunduzi Municipality-Tariff Structure:
Units (kWh) Rate c/kWh (excluding
VAT)

Block 1 0 - 50 89,32

Block 2 51 - 350 116,42

Block 3 351 - 600 139,65

Block 4 > 600 145,70

www.umsunduzimunicipality.co.za
Use the table above to answer the questions that follow.
2.2.1. Distiguish between the terms prepaid and post-paid tariff. (4)
2.2.2. Determine the rate in Rands for block 2. (2)
2.2.3. Bobo stated that he paid R386,07 (including VAT) for 300 kWh of electricity. Show (5)
with calculations, that his statement is correct.
2.3 Bobo wants to buy a new cell phone. He got the following two quotations from cell
phone companies:
Option 1: Prepaid package Option 2: Contract package

Call cost: R1,20 per minute R250 per month

The first 100 minutes are free
Thereafter:
Call cost: R0,95 per minute

www.singleshortnetphonetariffs.co.za
Use the table above to answer the questions that follow.
2.3.1. Determine a formula to calculate the monthly cost for Option 2 (contract package). (2)
2.3.2. Bobo makes 200 minutes of calls a month, determine which option would be cheaper for (5)
him?
2.3.3 Below is a graph showing the cost for calls on Option 2 (Contract package). Draw the (4)
graph for Option 1 (Prepaid package) on the same set of axis.
2.3.4 Explain the meaning of the point of intersection of the two graphs in 2.3.3, according to (2)
the given context.

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QUESTION 3: Tariffs system: transport and banking fees

3.1 Mr Ntombela wants to hire a car for a trip from Vryheid to Durban. Car hire companies
have different tariffs and benefits on offer, Mr Ntombela will compare these offers and
choose the one that will give him the best value for his money.

Adapted from Avis and Budget car and van rental

AVIS CAR HIRE: R6,50 per kilometre

BUDGET CAR HIRE: R165 plus R3,50 per kilometre

Use the above information and answer the following questions.

Table 1 below shows the cost of the two options

Kilometre travelled 10 20 40 C
Cost for AVIS CAR HIRE R65 A R260 R455
Cost for BUDGET CAR R200 R235 B R410
HIRE
Use the above information above to answer the following questions.

3.1.1. Explain the term tariffs in the given context (2)

3.1.2. Calculate the value of A, B and C in a table (5)

3.1.3. If Mr Ntombela paid R515 on budget car hire, calculate how many kilometre did Mr (3)
Ntombela travelled

3.1.4. If Mr Ntombela will travel 400 km from Vryheid to Durban and come back. Which (5)
company will be cheaper and by how much? Show all calculation.

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3.2 Mr Thwala banks with ABC Bank. He wants to know the transaction fees of depositing cash at the
bank

Table 2: Bank charges for transaction at ABC Bank

Transaction Fees
Cash deposit ( at the branch) R2,00 + 0,90% of valve
Cash deposit ( at ATM) R0,95 per R100 ( or part thereof)

Use the information provided to answer the following questions.

3.2.1. What is the minimum fee paid if Mr Thwala deposited cash at the branch (2)

3.2.2. If Mr Thwala deposit R450 at the ATM how much fee will he pay (3)

3.2.3. If Mr Thwala deposit R1000 at ATM instead of at the branch how much would he save on (5)
transaction fees

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