WISKUNDE
GRAAD 12
NOG OEFENINGE
Begrotings, inkomstebelasting : antwoorde.
MATHEMATICS
GRADE 12
MORE EXERCISES
Budgets, income tax : answers.
Antwoord / Answer 1
1.1 A = Totale belasting / Total Tax - (516,0 + 370,2 + *3,1 + 82,2 + 98,6)
= R(1365,1 - 1266,5)
= R 98,6
Vr / Qu 1.1
1.2 B = 100% - ( % Belasting / % Tax + % Lenings / % Loans)
= (100 - (72,6 + 25,7)) %
= 1,70%
Vr / Qu 1.2
1.3 Basiese Onderwys. Algemene Publieke Dienste, Veiligheid en Sekuriteit,
Ekonomiese Ontwikkeling, Naskoolse Onderwys en Opleiding
Vr / Qu 1.3
Basic Education, General Public Services, Safety and Security,
Economic Development, Post School Education and Training.
Vr / Qu 1.3
1.4 Totale begrote uitgawes / Total budgeted expenses =
335,3 + 272,3 + 269,7 + 248,8C + 248,8 + 218,8,5 + 288,6 + 207,5 + 119,6
=
1949,1
208,6 100
C =
─────── X ──── %
1949,1 1
= 10,7 %
Vr / Qu 1.4
1.5 Totale toename / Total increase = R(248,8 - 229,7)
= R 1.42345678
Vr / Qu 1.5
1.6 Totale uitgawes / Total expenses vir/for 2020/2021
= R(309,5 + 276,4 + 229,3 + 229,7 + 229,7 + 212,3 + 217,0 + 211,5 + 120,0)
= R 1 875,7
Vr / Qu 1.6
1.7
Persentasie verhoging / Percentage increase =
Uitgawes / Expense (2021/2022 - 2020/2021) 100
= ───────────────────────────────── X ───── %
Uitgawes / Expense (2021/2022 - 2020/2021) 1
1 949,1 ─ 1 875,7 100
= ────────────── X ───── %
1 875,7 1
= 3,91 %
Vr / Qu 1.7
Antwoord / Answer 2
2.1 Mediese krediete / Medical creedits = R( 303 + 4 X 204)
= R 1119,00
Vr / Qu 2.1
2.2 Totale aftrekkings / Total deductions = R( 342 + 2 400 + 5 600 + 3 950 + 3 420 )
= R 15 712,00 ;
Vr / Qu 2.2
2.3 Belasbare inkomste / Taxable revenue =
Inkomte / Income ━ Toelaatbare aftrekking / Deductions allowed
Toelaatbare aftrekkings Deductions allowed
:
bedrag van pensioenfonds / amount of pension fund deduction < 27.5 % ;
Belasbare inkomste / Taxable revenue =
R 34 200 ━ 3 420
= R 30 780
Vr / Qu 2.3
2.4 Belasbare inkomste / Taxable revenue
= R 12 X 30 780
= R 369 360
Vr / Qu 2.4
2.5 Belasting kerf / Tax bracket
= R 296 541 ─── 410 460
Vr / Qu 2.5
2.6 Belasting / Tax
= R 61 910 + 31% van inkomste meer as 296 540 /
of the income above 296 540
31 (369 360 ━ 296 540)
= R61 910 + ──── X ──────────────────
100 1
= R84 484,20
Die volgende rebatte kan afgetrek word / The following rebates may be deducted
:
Primêr / Primary ━━ R13 635 ━━ jonger as 65 / younger than 65 years
Mediese korting / Medical credits ━━ R1 119
Belasting betaalbaar / Tax payable = R84 484,20 ─ R(13 635 + 1 119)
= R69 730,20
Vr / Qu 2.6
2.7 Nee / No
Sy maandelikse aftrekking / His monthly deduction =
R69 730,20 ÷ 12
= R5 810,85
Vr / Qu 2.7
Antwoord / Answer 3
Jack
: Jaarlikse belasbare inkomste / Annual taxable income = R14 200 X 12
= R 170 400
Drumpel waarde / Threshold = R131 150
Jaarlikse belasbare inkomste / Annual taxable income = R131 150 ━ 131 150
= R 39 250
Tax bracket / Tax bracket
: R 0 ━━ R 189 880
18
Belasting / Tax = R 39 250 X ━━━━ = R 7 065
100
Totale kortings / Total rebates
: R( 13 635 + 7479 + 2943) = R24 057
Wat groter is as sy belasting en dus is hy geen belasting verskuldig nie. /
Which is greater than his tax payable so that he does not pay any tax.
Jill
: Jaarlikse belasbare inkomste / Annual taxable income = R15 800 X 12
= R 189 600
Drumpel waarde / Threshold = R117 300
Jaarlikse belasbare inkomste / Annual taxable income = R189 600 ━ 117 300
= R 72 300
Tax bracket / Tax bracket
: R 0 ━━ R 189 880
18
Belasting / Tax = R 72 300 X ━━━━ = R 13 014
100
Totale kortings / Total rebates
: R( 13 635 + 7479) = R21 114
Wat groter is as haar belasting verskuldig en dus is sy geen belasting verskuldig nie. /
Which is greater than her tax payable so that she does not pay any tax.
Jill is dus verkeerd - hulle betaal albei ewe veel : R0. /
Jill is thus in error - both pay the same amount which is R0.
Vr / Qu 3.
Antwoord / Answer 4
4.1.1 Pensioen / Pension = 8,4% van / of R43 218
= R3 630,31
Vr / Qu 4.1.1
4.1.2 WVF / UIF = 1% van / of R43 218
= R432,18
Vr / Qu 4.1.2
4.2 Totale maandelikse aftrekkings / Total monthly deductions =
= R(3 630,31 + 432,18 + 4 850 + 4 500)
= R13 412,49
Vr / Qu 4.2
4.3 Netto salaris / Nett earnings =
R(43 218,00 ━ 13 412,49)
= R29 805,51
Vr / Qu 4.3
4.4 Maandelikse belasbare inkomste / Monthly taxable income
= R(43 218,00 ━ 3 630,31)
= R39 587,69
Vr / Qu 4.4
4.5 Jaarlikse belasbare inkomste / Annual taxable income
= R39 587,69 X 12
= R475 052,28
Vr / Qu 4.5
4.6 Belastingkerf / Tax bracket
: R 358 111 ──── R500 940
Vr / Qu 4.6
4.7 Belasting / Tax
= R82 904,00 + 35% van / of (475 052 ━ 358 110)
= R82 904,69 + 40 929,70
= R123 834,59
Vr / Qu 4.7
4.8 Belasting kortings / Tax rebates
Primêr / Primary = R12 080
Mediese krediet / Medical credit = R(300 + 2 x 250) x 12 = R9 600
Totaal / Total = R21 680
Vr / Qu 4.8
4.9 Belasting betaalbaar / Tax payable = R123 834,59 ━ 21 680
= R102 154,59
Vr / Qu 4.9
4.10 Maandeliks betaalbaar / Payable monthly = R102 154,59 ÷ 12
= R8 512,88
Nee. Die aftrekking is te klein. / No, the deduction is too small.
Vr / Qu 4.10
Antwoord / Answer 5
5.1 Jaarlikse belasbare inkomste / Annual taxable income = R17 200 X 12
= R206 400
Vr / Qu 5.1
5.2 Belastingkoers / Tax bracket
: R195 851 ──── R305 850
Vr / Qu 5.2
5.3 Dit is die belasting gehef op 'n inkomste van R195 850. /
It is the tax payable on an income of R195 850.
Belasting / Tax = 18% van / of R195 850 = R35 253
Vr / Qu 5.3
5.4 Belasting / Tax = R35 253 + 26% van / of
R(206 400 ━ 195 850)
= R35 253 + R2 743 = R37 996
Vr / Qu 5.4
5.5 Kortings en krediete toegelaat / Rebates and credits allowedTax
Primêre korting / Primary rebate = R14 220
jonger as 65 jaar / younger than 65 years
Vr / Qu 5.5
5.6 Belasting verskuldig / Tax payable
= R37 996 ━ R14 220
= R23 776
Vr / Qu 5.6
Antwoord / Answer 6
6.1 Jaarlikse belasbare inkomste / Annual taxable income = R(12 400 ━ 1 200) X 12
= R134 400
Vr / Qu 6.1
6.2 Belastingdrempel / Tax bracket
: R122 300 (65 < 67 < 75)
Vr / Qu 6.2
6.3 Belasting / Tax
= 18% van / of R134 400
= R24 192
Vr / Qu 6.3
6.4 Kortings en krediete toegelaat / Rebates and credits allowedTax
Primêre korting / Primary rebate = R14 220 + R7 794 = R22 014
tussen 65 en 75 jaar / between 65 and 75 years
Medies krediet / Medical credit = R(310 X 2) X 12 = R7 440
Totaal / Total = R(22 014 + 7 440) = R29 554
Vr / Qu 6.4
6.5 Die som van die kortings en krediete is groter as die belasting betaalbaar en
dus betaal sy geen belasting nie. /
The sum of the rebates and the credits is greater than the payable tax and
therefore she pays no tax.
Vr / Qu 6.5
Antwoord / Answer 7
7.1 Maandelikse belasbare inkomste / Monthly taxable income = R(28 300 ━ 2 400)
Jaarlikse belasbare inkomste / Annual taxable income
= R25 900 X 12
= R310 800
Vr / Qu 7.1
7.2 Belastingdrempel / Tax bracket
: R136 750 (78 > 75)
Vr / Qu 7.2
7.3 Belasting / Tax
= R63 853 + 31% van / of R310 800 ━ 305 850)
= R63 853 + R1 534,5
= R65 387,50
Vr / Qu 7.3
7.4 Kortings en krediete toegelaat / Rebates and credits allowedTax
Totale korting / Total rebate = R14 220 + R7 794 + R2 601 = R24 615
ouer as 75 jaar / older than 75 years
Medies krediet / Medical credit = R310 X 12 = R3 720
Totaal / Total = R(24 615 + 3 720) = R28 335
Vr / Qu 7.4
7.5 Belasting betaalbaar / Tax payable = R65 387,50 ━ R28 335
= R37 052, 50
Vr / Qu 7.5
Antwoord / Answer 8
8.1 Pensioen aftrekking / Pension deduction = 9,5% van / of R45 300 = R4 303,50
WVF / UIF = 1% van / of R45 300 = R453
Netto salaris / Nett salary = R45 300 ━ R(4 303,5 + 435 + 4 200 + 4 800)
= R32 041,80
Vr / Qu 8.1
8.2 Jaarlikse belasbare inkomste / Annual taxable income
= R(45 300 ━ 3805,20) X 12
= R497 937,20
Vr / Qu 8.2
8.3 Belasting / Tax
= R100 263 + 36% van / of R(497 937,60 ━ 423 300)
= R100 263 + R26 869,54
= R127 132,54
Vr / Qu 8.3
8.4 Kortings en krediete toegelaat / Rebates and credits allowedTax
Primêre korting / Primary rebate = R14 220
Medies krediet / Medical credit = R(310 X 2 + 209 X 4) X 12 = R17 472
Totaal / Total = R(14 220 + 17 472) = R31 692
Vr / Qu 8.4
8.5 Belasting betaalbaar / Tax payable = R127 132,54 ━ R31 692
= R95 440, 54
Vr / Qu 8.5