GRADE 11
MORE EXERCISES
Financial Documents, tariffs, accounts, bills, rates : answers.
1.1.1 The first 6 kℓ are free,
from 7kℓ to 19 kℓ, R2 per kℓ
Qu. 1
1.1.2 Amount payable
15
= R[6 × 0 + (18 ─ 6) × 2] + ─── × 24
100
= R 24 + 3,60 = R 27,60 Qu. 1
1.2 Consumption = 39 kℓ
Amount payable
(0 - 6) kℓ = R 0
(6 - 19) kℓ = R (19 ─ 6) × 2 = R 26,00
(20 - 39) kℓ = R (39 ─ 19) × 2,40 = R 48,00
For water = R (0 + 26,00 + 48,00) = R 74,00
15
VAT = R (74,00 × ──── ) = R 11,10
100
Total = R [(74,00 + 11,10)
= R 85,10 Qu. 1
from 7kℓ to 19 kℓ, R2 per kℓ
Qu. 1
1.1.2 Amount payable
15
= R[6 × 0 + (18 ─ 6) × 2] + ─── × 24
100
= R 24 + 3,60 = R 27,60 Qu. 1
1.2 Consumption = 39 kℓ
Amount payable
(0 - 6) kℓ = R 0
(6 - 19) kℓ = R (19 ─ 6) × 2 = R 26,00
(20 - 39) kℓ = R (39 ─ 19) × 2,40 = R 48,00
For water = R (0 + 26,00 + 48,00) = R 74,00
15
VAT = R (74,00 × ──── ) = R 11,10
100
Total = R [(74,00 + 11,10)
= R 85,10 Qu. 1
1.3 Consumption = 75 kℓ
Amount payable
(0 - 6) kℓ = R 0
(6 - 19) kℓ = R (19 ─ 6) × 2 = R 26,00
(20 - 39) kℓ = R (39 ─ 19) × 2,40 = R 48,00
(40 - 59) kℓ = R (59 ─ 39) × 3,50 = R 70,00
(60 - 75) kℓ = R (75 ─ 59) × 4,50 = R 72,00
For water = R (0 + 26,00 + 48,00 + 70,00 + 72,00)
= R 216,00
15
VAT = R (216,00 × ──── ) = R 32,40
100
Total = R [(216,00 + 32,40)
= R 248,40 Qu. 1
Amount payable
(0 - 6) kℓ = R 0
(6 - 19) kℓ = R (19 ─ 6) × 2 = R 26,00
(20 - 39) kℓ = R (39 ─ 19) × 2,40 = R 48,00
(40 - 59) kℓ = R (59 ─ 39) × 3,50 = R 70,00
(60 - 75) kℓ = R (75 ─ 59) × 4,50 = R 72,00
For water = R (0 + 26,00 + 48,00 + 70,00 + 72,00)
= R 216,00
15
VAT = R (216,00 × ──── ) = R 32,40
100
Total = R [(216,00 + 32,40)
= R 248,40 Qu. 1
2.1
No, he can not afford all his expenses - expenses are greater than his income. Qu. 2
2.2 His expenses are now R600 less and thus his budget balances. Qu. 2
2.3 His expenses are now R300 greater than his income and he will have to
reduce his expenditure somewhere. The best place to save R300 is to
spend R300 less on entertainment because it is not absolutely necessary. Qu. 2
| Income | Rand | Expenses | Rand | |
| Salary | 16 000 | House-rent | 5 800 | |
| Food | 5 250 | |||
| Clothes | 1 600 | |||
| Motor instalment | 1 760 | |||
| Motor maintenance | 940 | |||
| Entertainment | 1 600 | |||
| Save | 600 | |||
| Total | 16 000 | Total | 16 600 |
No, he can not afford all his expenses - expenses are greater than his income. Qu. 2
2.2 His expenses are now R600 less and thus his budget balances. Qu. 2
2.3 His expenses are now R300 greater than his income and he will have to
reduce his expenditure somewhere. The best place to save R300 is to
spend R300 less on entertainment because it is not absolutely necessary. Qu. 2
| Consumption (kℓ) | |
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| Cost (R) | |
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3.3 Minimum cost = R 22 Qu. 3
3.4 Maksimum cost = R 20 Qu. 3
3.5 The graph is a straight line from R 0 to R 20
because the cost is directly proportional to
the consumption at R1 / kℓ.
Qu. 3
3.6 Coordinates of D = (12 ; 14) Qu. 3
3.7 Coordinates of E = (27 ; 35) Qu. 3
3.8 The rate for a consumption of 0 kℓ to 20 kℓ is R1 per kℓ.
For 12 kℓ the cost is therefore = R 12 X 1 = R 12
point D. Qu. 3
3.4 Maksimum cost = R 20 Qu. 3
3.5 The graph is a straight line from R 0 to R 20
because the cost is directly proportional to
the consumption at R1 / kℓ.
Qu. 3
3.6 Coordinates of D = (12 ; 14) Qu. 3
3.7 Coordinates of E = (27 ; 35) Qu. 3
3.8 The rate for a consumption of 0 kℓ to 20 kℓ is R1 per kℓ.
For 12 kℓ the cost is therefore = R 12 X 1 = R 12
point D. Qu. 3
4.1 At (0, 0) because there is no cost if you do not use the phone.
Qu. 4.1
4.2 At (0 ; 100), i.e. there is a fixed cost of R100 irrespective of any calls made. Qu. 4.2
4.3 Contract B has the greatest cost per minute because it is the "steepest" line,
it has the greatest gradient or slope. The cost is R300 for 300 minutes,
thus R1 per minute. Qu. 4.3
4.4 Contract A - cost = R 80 and contract B - cost = R 180 Qu. 4.4
4.5 Time = 120 minutes Qu. 4.5
4.6 Intersection at (200 ; 200). Both contracts have the same cost for 200 minutes, viz. R200. Qu. 4.6
4.7 Contract A : 250 minutes cost R125 (225 - 100)
1 minute costs R0,50 plus R100.
Test : 200 minutes cost R(200 X 0,5 + 100)
200 minutes cost R200
Contract B : 250 minutes cost R250
1 minute costs R1,00 Qu. 4.7
4.8 Contract A : Cost = R(80 X 0,50 + 100)
= R 140
Contract B : Cost = R(80 x 1,00)
= R 80 Qu. 4.8
4.9 After 200 minutes. [ At 200 minutes the costs are equal ] Qu. 4.9
4.10 Contract B, because the it is cheaper - the cost is smaller than that of contract A. Qu. 4.10
4.2 At (0 ; 100), i.e. there is a fixed cost of R100 irrespective of any calls made. Qu. 4.2
4.3 Contract B has the greatest cost per minute because it is the "steepest" line,
it has the greatest gradient or slope. The cost is R300 for 300 minutes,
thus R1 per minute. Qu. 4.3
4.4 Contract A - cost = R 80 and contract B - cost = R 180 Qu. 4.4
4.5 Time = 120 minutes Qu. 4.5
4.6 Intersection at (200 ; 200). Both contracts have the same cost for 200 minutes, viz. R200. Qu. 4.6
4.7 Contract A : 250 minutes cost R125 (225 - 100)
1 minute costs R0,50 plus R100.
Test : 200 minutes cost R(200 X 0,5 + 100)
200 minutes cost R200
Contract B : 250 minutes cost R250
1 minute costs R1,00 Qu. 4.7
4.8 Contract A : Cost = R(80 X 0,50 + 100)
= R 140
Contract B : Cost = R(80 x 1,00)
= R 80 Qu. 4.8
4.9 After 200 minutes. [ At 200 minutes the costs are equal ] Qu. 4.9
4.10 Contract B, because the it is cheaper - the cost is smaller than that of contract A. Qu. 4.10
5.1 Part AB represents the part where the cost remains the same, at R110, for the
first 100 minutes. Qu. 5.1
5.2 Part BC represents the part where the cost increases as the time exceeds
100 minutes - the cost is directly proportional to the duration of the call. Qu. 5.2
5.3 Yes, because the cost increases if the time increases. Qu. 5.3
5.4 Q is the cheaper contract because the cost remains R100 if the minutes do not
exceed 100 minutes. Qu. 5.4
5.5 P is the cheaper contract because the cost is lower than that of contract Q. Qu. 5.5
5.6 P has the lower rate per minute because the gradient / slope of the graph
is smaller / the line is not so steep. Qu. 5.6
first 100 minutes. Qu. 5.1
5.2 Part BC represents the part where the cost increases as the time exceeds
100 minutes - the cost is directly proportional to the duration of the call. Qu. 5.2
5.3 Yes, because the cost increases if the time increases. Qu. 5.3
5.4 Q is the cheaper contract because the cost remains R100 if the minutes do not
exceed 100 minutes. Qu. 5.4
5.5 P is the cheaper contract because the cost is lower than that of contract Q. Qu. 5.5
5.6 P has the lower rate per minute because the gradient / slope of the graph
is smaller / the line is not so steep. Qu. 5.6
6.1 Phone number is 001 968 0001
Qu. 6.1
6.2 P. O. Box 34, Waterloo. 061208 Qu. 6.2
6.3 Date : 30/04/2015 Qu. 6.3
6.4 Mr. J Williams Qu. 6.4
6.5 That amount has been received and payed into the account so that there is no longer
any amount due. Qu. 6.5
6.6 Volume of water = (3621 ─ 3563) kℓ = 53 kℓ Qu. 6.6
6.7 Cost = R (6 × 0 + 23 × 1,10 + 20 × 1,70 + 4 × 4,50) = R 77,30
VAT = R (77,30 × 0,14) = R 10,82
Total = R 77,30 + 10,82) = R 88,12
The cost for the water is correct but the VAT is probably wrong because
the Total amount is wrong. Qu. 6.7
6.8 Consumption = (11236 ─ 105240 units = 712 units
Cost = R (712 × 1,45) = R 1 032,40
VAT = R (1 032,40 × 0,14) = R 144,54
Total = R (1 032,40 + 144,54) = R 1 176,94 Qu. 6.8
6.9 Amount = R 1 223,30 Qu. 6.9
6.10 Annual levy = R 327,60 and the Amount due = R 1 722,16 Qu. 6.10
3 931,20 100
6.11 Percentage = ──────── X ──── % = 0,425 %
925 000 1 Qu. 6.11
6.2 P. O. Box 34, Waterloo. 061208 Qu. 6.2
6.3 Date : 30/04/2015 Qu. 6.3
6.4 Mr. J Williams Qu. 6.4
6.5 That amount has been received and payed into the account so that there is no longer
any amount due. Qu. 6.5
6.6 Volume of water = (3621 ─ 3563) kℓ = 53 kℓ Qu. 6.6
6.7 Cost = R (6 × 0 + 23 × 1,10 + 20 × 1,70 + 4 × 4,50) = R 77,30
VAT = R (77,30 × 0,14) = R 10,82
Total = R 77,30 + 10,82) = R 88,12
The cost for the water is correct but the VAT is probably wrong because
the Total amount is wrong. Qu. 6.7
6.8 Consumption = (11236 ─ 105240 units = 712 units
Cost = R (712 × 1,45) = R 1 032,40
VAT = R (1 032,40 × 0,14) = R 144,54
Total = R (1 032,40 + 144,54) = R 1 176,94 Qu. 6.8
6.9 Amount = R 1 223,30 Qu. 6.9
6.10 Annual levy = R 327,60 and the Amount due = R 1 722,16 Qu. 6.10
3 931,20 100
6.11 Percentage = ──────── X ──── % = 0,425 %
925 000 1 Qu. 6.11
7.1 Date : 2 May 2008 and invoice number : 121
Qu. 7.1
7.2 The account is overdrawn - Mr. S Stephens owes the Bank money - he "borrows" money. Qu. 7.2
7.3 These amounts are withdrawn from the account to pay other accounts. Qu. 7.3
7.4 Balance = R (4,802.92 −) + R 11,200.00 = R 6,397.08 Qu. 7.4
7.5 Balance (04.06) = R 1,541.34 + ─ R 3,380.54 = R 1,839.20 −
OR Balance (04.06) = R 1,541.34 ─ R 3,380.54 = R 1,839.20 −
More money is withdrawn than that is available and therefore the Balance is negative
to show this. Qu. 7.5
7.6 Credits are positive because they represent money that is paid into the account. Qu. 7.6
7.7 Balance (04.18) = R (3,966.20 −) + R 1,500.00 = R 2,466.20 − Qu. 7.7
7.8 Balance (04.30) = R (4,270.32 −) + R 99.00 − = R 4,369.32 − Qu. 7.8
13.5
7.9 Interest on overdrawn account = R 4,369.32 X ─────── = R 49.15 −
100 × 12 Qu. 7.9
7.10 Balance (04.30) = R (4,369.32 −) + R 49.15 − = R 4,418.47 − Qu. 7.10
7.2 The account is overdrawn - Mr. S Stephens owes the Bank money - he "borrows" money. Qu. 7.2
7.3 These amounts are withdrawn from the account to pay other accounts. Qu. 7.3
7.4 Balance = R (4,802.92 −) + R 11,200.00 = R 6,397.08 Qu. 7.4
7.5 Balance (04.06) = R 1,541.34 + ─ R 3,380.54 = R 1,839.20 −
OR Balance (04.06) = R 1,541.34 ─ R 3,380.54 = R 1,839.20 −
More money is withdrawn than that is available and therefore the Balance is negative
to show this. Qu. 7.5
7.6 Credits are positive because they represent money that is paid into the account. Qu. 7.6
7.7 Balance (04.18) = R (3,966.20 −) + R 1,500.00 = R 2,466.20 − Qu. 7.7
7.8 Balance (04.30) = R (4,270.32 −) + R 99.00 − = R 4,369.32 − Qu. 7.8
13.5
7.9 Interest on overdrawn account = R 4,369.32 X ─────── = R 49.15 −
100 × 12 Qu. 7.9
7.10 Balance (04.30) = R (4,369.32 −) + R 49.15 − = R 4,418.47 − Qu. 7.10
8.1 Overtime 1.5 rate = R 85 × 1,5 = R 127,50 per hour.
thus wages = R 127,50 × 10 = R 1,275.00 Qu. 8.1
8.2 Overtime 2 rate = R 85 × 2 = R 170,00 per hour.
765.00
thus number of hours = ────── = 4.5
170.00 Qu. 8.2
8.3 Total wages = R 13,200.00 + 1,275.00 + 765.00 = R 15,240.00 Qu. 8.3
8.4 Taxable income for the year = R 15,240.00 × 12 = R 182,880.00
Tax = R 21,960.00 + 25 % × (182,880 ─ 122,000.00)
= R 21,960.00 + R 15,220.00 = R 370,180.00
Tax payable = R 37,180 ─ 8,280 (primary rebate) = R 28,900.00
Monthly payment = R 2,408.33 Qu. 8.4
1
8.5 Contribution to UIF = R 13,200.00 × ──── = R 132.00
100 Qu. 8.5
198 100
8.6 Percentage = ────── × ──── = R 132.00
13 200 1 Qu. 8.6
8.7 Total deductions = R 2,408.33 + 152.40 + 198.00 + 85.25 + 500.00 + 1,518.88
= R 5,025.86 Qu. 8.7
8.8 Net wages = R (15,240.00 ─ 5,025.86) = R 10,214.14 Qu. 8.8
thus wages = R 127,50 × 10 = R 1,275.00 Qu. 8.1
8.2 Overtime 2 rate = R 85 × 2 = R 170,00 per hour.
765.00
thus number of hours = ────── = 4.5
170.00 Qu. 8.2
8.3 Total wages = R 13,200.00 + 1,275.00 + 765.00 = R 15,240.00 Qu. 8.3
8.4 Taxable income for the year = R 15,240.00 × 12 = R 182,880.00
Tax = R 21,960.00 + 25 % × (182,880 ─ 122,000.00)
= R 21,960.00 + R 15,220.00 = R 370,180.00
Tax payable = R 37,180 ─ 8,280 (primary rebate) = R 28,900.00
Monthly payment = R 2,408.33 Qu. 8.4
1
8.5 Contribution to UIF = R 13,200.00 × ──── = R 132.00
100 Qu. 8.5
198 100
8.6 Percentage = ────── × ──── = R 132.00
13 200 1 Qu. 8.6
8.7 Total deductions = R 2,408.33 + 152.40 + 198.00 + 85.25 + 500.00 + 1,518.88
= R 5,025.86 Qu. 8.7
8.8 Net wages = R (15,240.00 ─ 5,025.86) = R 10,214.14 Qu. 8.8
9.1 Number of items bought = 20
Qu. 9.1
9.2 Number of carrier bags bought = 4 Qu. 9.2
9.3 Volume (capacity) of carrier bags = 24 ℓ Qu. 9.3
9.4 Number of items that are exempted from VAT (VAT free) bought = 7 Qu. 9.4
9.5 Value of itmes in 9.4 = R 124,30 Qu. 9.5
9.6 Value of items on which VAT was computed = R 149,45 Qu. 9.6
29,99
9.7 The 18 pack of eggs : price per egg = R ───── = R 1,66611
18
9,99
The 6 pack of eggs : price per egg = R ───── = R 1,665
6
The 6 pack of eggs is thus slightly cheaper. Qu. 9.7
34,99
9.8 Price of yellow peaches = R ────── = R 36,45per kilogram
0,96 Qu. 9.8
14,53
9.9 Price of tomatoes = R ────── = R 16,00 per kilogram
0,908 Qu. 9.9
9.2 Number of carrier bags bought = 4 Qu. 9.2
9.3 Volume (capacity) of carrier bags = 24 ℓ Qu. 9.3
9.4 Number of items that are exempted from VAT (VAT free) bought = 7 Qu. 9.4
9.5 Value of itmes in 9.4 = R 124,30 Qu. 9.5
9.6 Value of items on which VAT was computed = R 149,45 Qu. 9.6
29,99
9.7 The 18 pack of eggs : price per egg = R ───── = R 1,66611
18
9,99
The 6 pack of eggs : price per egg = R ───── = R 1,665
6
The 6 pack of eggs is thus slightly cheaper. Qu. 9.7
34,99
9.8 Price of yellow peaches = R ────── = R 36,45per kilogram
0,96 Qu. 9.8
14,53
9.9 Price of tomatoes = R ────── = R 16,00 per kilogram
0,908 Qu. 9.9