Grade 10  More Exercises
Financial documents, tariffs, accounts.
1. A certain Municipality has the following tariff system for calculating the
charge for the
sale of household water. [ The consumption is determined by rounding up the reading to the
next whole number kl consumed. Thus, 7,5 kl is rounded up to 8 kl ]:



From (kl) 
To (kl) 
Tariff per kiloliter (R) 
From (kl) 
To (kl) 
Tariff per kiloliter (R) 
0 kl 
6,00 kl 
free 
6,01 
29,99 
R2,00 
30,00 kl 
49,99 kl 
R2,40 
50,00 
79,99 
R3,50 
80,00 kl 
99,99 kl 
R4,50 
100,00 
and more 
R7,80 

1.1
A household uses 8 kl of water.
1.1.1
Wht is the tariff for this consumption?
1.1.2
What is the amount payable? Show all your calculations.
1.2
The consumtion for the month is 49,12 kl. Calculate the amount payable. Show all your
calculations.
1.3
An account for R135,65 is rendered for a consumption of 55 kl. Test the correctness of
the account. Show all your calculations.
2.
Jack draws up the following budget :



Income (R) 


Expenses (R) 

Salary 
7 600 

Rent 
2 800 



Food 
1 900 



Clothes 
600 



Instalment  motor car 
1 300 



Maintance motor car 
820 



Entertainment 
600 



Saving Scheme 
500 
Total 
7 600 

Total 


2.1
Determine Jack's total expenses. Can he afford all his expenses?
2.2
Suppose that he saves nothing. Does his budget balance? What else can he do to
balance his budget?
2.3
He decides to save R300. What can he do to balance his budget?
3.
Peter draws up the following budget :



Income (R) 


Expenses (R) 

Salary 
17 000 

Instalment on house 
6 800 



Instalment on motor car 
2 100 



Instalment on 2nd car 
1 000 



Maintenance  motor cars 
1 000 



Food 
3 200 



Clothes 
1 320 



Children's school expenses 
1 680 



Entertainment 
800 



Saving plan 
400 
Total 
17 000 

Total 


3.1
Determine Peter's total expenses. Can he afford all his expenses?
3.2
Suppose that hr saves nothing. Does his budget now balance? What more can he do to
balance his budget?
3.3
He decides to save R300. What can he do to balance his budget?
4.
Study the following account from XYZ Municipality.
4.1
Write down the phone number
of the Municipality.
4.2
Write down the postal address
of the Municipality.
4.3
What is the date on which
the account was issued?
4.4
What is the last date on which the
account can be settled without
incurring interest?
4.5
The amount "Payment received" is shown
shown as a negative amount.
Explain.
4.6
Is the consumption of water and
electricity correct? Show all
your calculations.
4.7
Is the amount payable for water
correct? Show all your
calculations.
4.8
Are there any other mistakes?
Show your calculations.
4.9
Confirm that in this case
property tax is levied at 1,6%.
XYZ Municipality 
13 Wandering Street
P. O. Box 34
Phone: 001 968 0001 
Hereweare
Hereweare
Fax: 001 968 0002 
001908
001908 

Mr. JS Pimpleroy
Account : March 2016 
P. O. Box 31
Date : 28/03/2016 
Hereweare
Settle before 14 / 04 / 2016 
001908
Account number : 10416 

Description 
Charge 
Amount 
VAT 
Amount 
Brought forward 



639,45 
Payment received 



639,45 
Water 
35 
43,75 
49,88 
93,63 
Electricity 
288 
478,08 
66,93 
545,10 
Refuse removal 

50,00 
7,00 
57,00 
Sewage 
35 
70,00 
9,80 
79,80 
Annual levy 



410,12 
Amount due 

572,53 
133,61 
1 185,65 

Meter readings 
Property information 
Type 
Previous 
Current 
Stand 
0236 
Water 
1206 
1241 
Size (ha) 
0,1 
Electricity 
80136 
80324 
Value 
350 000 



Annual levy 
4 921,44 

Notes : 1. Water rate : R1,10 /kiloliter  firs 6 kiloliter free 
2. Electricity rate : R1,45 / unit 
3. Interest at 15% p.a. ia added on late payments and 
overdue accounts. 

5.
Study the bank statement of a savings account.
5.1
When was the invoice dated and
what is the number of the invoice?
5.2
Why are commas and full stops
used in the amounts and what
does it mean?
5.3
What is the interest rate
for this account?
5.4
Calculate the interest earned.
5.5
What is the meaning of
"Interest capitalized"?
5.6
What is the Balance after the
entry "Interest capitalized"?
5.7
Explain the use of a
negative sign after the amounts
in the Debits column.
5.8
What is the Balance on April, 30?
Our Newbank 
P. O. Box 21
Phone: 888 968 0001
May 2, 2005 
Runaway
Fax: 888 968 0002
Statement number : 51 
081908 

Miss S. Marais 
P. O. Box 18 
Runaway 
081908 

Bank statement / Tax invoice 
SaveNow
Account number : 12300075 

Details 
Date 
Debits 
Credits 
Balance 
Brought forward 



1,986.32 
Interest capitalized 




Transfer to account 223001021 
04:18 
800.00 

1,187.98 
Service fees 
04:30 
19:20 

1,168.78 
Rate as on April 1, 2005 

0.00 − 1,999.00 1%
2,000.00 − 3,999.00 2% 
4,000.00 − 5,999.00 2.25%
6,000.00 − 9,999.00 2.5% 
10,000.00 − 49,999.00 3%
50,000.00 and more
3,5% 

Interest is compounded monthly. 


Please check all entries and report any differences 

6.
Study the following statement from a current account.
6.1
What is the date and the number
of the invoice?
6.2
Why is the balance brought
forward shown with a
negative sign?
6.3
Why do the amounts shown in the
Debits column have a negative
sign?
6.4
Calculate the Balance after ABC
Services have paid the salary.
What and why is the sign
of the Balance?
6.5
Calculate the Balance on 04:05.
Explain your answer.
6.6
Calculate the Balance on 04:06.
6.7
Calculate the Balance on 04:18
6.8
Calculate the Balance on 04:29
6.9
Calculate the interest on the
overdrawn account.
6.10
Calculate the Balance on 04:30
Our Newbank 
P. O. Box 21
Phone: 888 968 0001
May 2, 2005 
Runaway
Fax: 888 968 0002
Statement number : 251 
081908 

Miss S. Marais 
P. O. Box 18 
Runaway 
081908 

Bank statement / Tax invoice 
VeryEasy
Account number : 223001021 

Details 
Date 
Debits 
Credits 
Balance 
Brought forward 



3,814.21− 
ABC Services  salary 
04.01 

7,420.00 

Premium  life insurance 
04.01 
421.00− 

3,184.79 
Premium  insurance 
04.01 
318.75− 

2,866.04 
SafetyFirst 
04.01 
216.00− 

2,648.04 
Our Newbank  instalment on motor car 
04.02 
1,850.00− 

798.04 
WorkAsATeam Service Station 
04.05 
821.00− 


EasyBuy 
04.06 
2,430.25− 


Cash withdrawn 
04.10 
900.00− 

3,353.21− 
WorkAsATeam Service Station 
04.12 
212.00− 

3,565.21− 
Transfer from Account 12300075 
04:18 

800.00 

EasyBuy 
04.26 
1,660.55− 


Service Fees 
04:30 
99:00− 

4,524.76− 
Interest  overdrawn account 
04:30 



Rates as on April 1, 2005 

Interest is added to overdrawn accounts at a rate of 
13,5% p.a. and is compounded monthly. 


Please check all entries and report any differences. 

7.
Study the following till slip.
7.1
How many items were bought?
7.2
How many plastic carry bags were bought?
7.3
What is the volume of the bags?
7.4
How many items that are VAT free
were bought?
7.5
What is the value of the items in 7.4?
7.6
What is the value of the items
on which VAT is paid?
7.7
Which packaging of eggs is the
cheaper  the 18 eggs per pack
or the 6 eggs per pack?
Show all your calcuations.
7.8
What is the price of yellow peaches per kilogram?
Cheapest Shop 
Beet Waters 
Phone : 000 010 0203 
Cashier: Melissa Brown 

APPLES RED 
17.99 
# 
APPLE VINEGAR 375 ml 
12.79 

RAISINS CHOICE GRADE 
18.90 

SWEETCORN WHOLE KERNEL 


2 @ 10.99 
21.98 
SWEETCORN CREAM STYLE 


2 @ 11.99 
23.98 

FRUIT JUICE BERRIES 
14.99 

TUNA IN BRINE 


2 @ 15.99 
31.98 

PEACHES YELLOW 0.96 KG 
34.56 
# 
CARROTS LOOSE 0.75 KG 
11.24 
# 
POTATOES SMALL 0.6 KG 
6.00 
# 
EGGS LARGE 18 PACK 
29.99 
# 
EGGS LARGE 6 PACK 
9.99 
# 
NESTLE KIT KAT 
19.99 

CARRY BAGS PLASTIC 24 l 


4 @ 0.46 
1.84 

BALANCE DUE VAT INCLUDED 
256.22 

NUMBER OF ITEMS 
20 

                                   
   
 
VAT INCLUDED 
17.98 

# VAT FREE, ZERO RATED 




8.
The accompanying graph shows the monthly
cost of calls made from a cell phone.
8.1
Why does the graph start in
the origin, the point (0 ; 0)?
8.2
Is cost directly proportional to time?
Explain your answer.
8.3
Estimate the following values :
8.3.1
cost if time = 100 minutes.
8.3.2
time if cost = R100
8.3.3
cost if time = 150 minutes.
8.3.4
time if cost = R180
8.4
Calculate the cost per minute if it is given that the cost = R200 if time = 250 minutes.
8.5
Use the result in 8.4 to check your answers in 8.3.
9.
A cellphone company has a contract where the cost is R0,50 per minute.
9.1
Complete the following table:
Time (minutes) 
0 
10 
50 
200 
250 
300 
400 
Cost (R) 







9.2
Is cost directly proportional to time? Give a reason. What shape will the graph that
represents the data have?
9.3
Draw a graph to represent the data.
9.4
Use the letters A, B, C and D to mark the points where you will make the following
readings. Write down the value that you have read.
9.4.1
cost if time = 100 minutes [ A ]
9.4.2
time if cost = R100 [ B ]
9.4.3
cost if time = 150 minutes [ C ]
9.4.4
time if cost = R125 [ D ]
9.5
The company now increases the cost to R0,75 per minute. How must you change your graph to show the new cost? Now draw on the same system of axes the graph that represents the cost at R0,75.
10.
The accompanying graph represents the
cost of a cell phone contract.
10.1
Where does the graph start?
Give a reason for your answer.
10.2
Estimate the following values :
10.2.1
cost if time = 100 minutes.
10.2.2
time if cost = R100
10.2.3
cost if time = 150 minutes.
10.2.4
time if cost = R178
10.3
Calculate the cost per minute if it is given
that the cost = R150 if time = 250 minutes.
10.4
Use the result in 10.3 to check your answers in 10.2.
11.
The accompanying graph represents the cost
of a cell phone contract.
11.1
Where does the graph start?
Give a reason for your answer.
11.2
Explain the form of the graph from A to B.
11.3
Explain the form of the graph from B to C.
11.4
Estimate the following values :
11.4.1
cost if time = 80 minutes.
11.4.2
time if cost = R80
11.4.3
cost if time = 250 minutes.
11.4.4
time if cost = R175
11.5
Calculate the cost per minute if it is given that the coste = R200 of time = 400 minutes.
11.6
Use the result in 11.5 to check your answers in 11.4.