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Consumer Mathematics: Taxation · Form 5

Consumer Mathematics: Taxation: Worked Examples (KBAT)

This set hides the technique inside real situations: build annual income from monthly figures, apply a capped relief, decide whether a rebate applies, and compare tax outcomes. It stretches students toward multi-step reasoning.

General information only, not financial or tax advice.

Written by the spmmath.com.my editorial team.

Worked example 1

Puan Sarah receives a monthly salary of RM4,500 and a year-end bonus equal to one month's salary. She contributes 11% of her yearly salary (bonus excluded) to KWSP (EPF), but the KWSP relief is capped at RM4,000.

Her other reliefs are: individual RM9,000 and lifestyle RM2,500. The tax table gives: tax on the first RM35,000 is RM600, and the rate on the next band (RM35,001–RM50,000) is 8%.

A rebate of RM400 applies only if the chargeable income does not exceed RM35,000. Calculate her income tax payable for the year.

  1. Annual salary = 4,500 × 12 = RM54,000 (twelve months).
  2. Bonus = RM4,500 (one month); total income = 54,000 + 4,500 = RM58,500 (add bonus).
  3. KWSP = 11% × 54,000 = RM5,940, but the relief is capped, so KWSP relief = RM4,000 (apply the cap).
  4. Total reliefs = 9,000 + 4,000 + 2,500 = RM15,500 (add reliefs).
  5. Chargeable income = 58,500 − 15,500 = RM43,000 (income minus reliefs).
  6. 43,000 > 35,000, so use the RM600 row; excess = 43,000 − 35,000 = RM8,000 at 8% = RM640 (band tax).
  7. Tax charged = 600 + 640 = RM1,240; no rebate, since chargeable income exceeds RM35,000 (final).

Worked example 2

Encik Jaya's annual income is RM47,600 and his reliefs so far total RM12,000. He is deciding whether to also put RM3,000 into an approved education savings scheme, which would be fully claimable as an extra relief.

The tax table gives: on the first RM20,000, tax is RM150 and the next band (RM20,001–RM35,000) is 3%; on the first RM35,000, tax is RM600 and the next band (RM35,001–RM50,000) is 8%. A rebate of RM400 applies if the chargeable income does not exceed RM35,000.

How much less income tax would he pay if he makes the RM3,000 contribution?

  1. Without the contribution: chargeable income = 47,600 − 12,000 = RM35,600 (income minus reliefs).
  2. 35,600 > 35,000, use the RM600 row; excess = 35,600 − 35,000 = RM600 at 8% = RM48 (band tax).
  3. Tax A = 600 + 48 = RM648; no rebate, since it exceeds RM35,000 (first outcome).
  4. With the contribution: reliefs = 12,000 + 3,000 = RM15,000; chargeable income = 47,600 − 15,000 = RM32,600 (recompute).
  5. 32,600 ≤ 35,000, use the RM150 row; excess = 32,600 − 20,000 = RM12,600 at 3% = RM378 (band tax).
  6. Tax charged = 150 + 378 = RM528; rebate applies, so Tax B = 528 − 400 = RM128 (second outcome).
  7. Saving = 648 − 128 = RM520 (difference).

Worked example 3

Encik Zul's chargeable income after reliefs is RM55,000. During the year his employer deducted RM2,000 in total as monthly tax deduction (PCB/MTD).

He also paid zakat of RM900, which is treated as a rebate deducted from the tax charged. The tax table gives: tax on the first RM50,000 is RM1,800, and the rate on the next band (RM50,001–RM70,000) is 13%.

Determine whether Encik Zul must pay a balance or receive a refund, and state the amount.

  1. Tax on the first RM50,000 = RM1,800 (from the table).
  2. Excess = 55,000 − 50,000 = RM5,000 at 13% = RM650 (band tax).
  3. Tax charged = 1,800 + 650 = RM2,450 (add).
  4. Less zakat rebate: 2,450 − 900 = RM1,550 (tax payable after rebate).
  5. Less PCB already paid: 1,550 − 2,000 = −RM450 (compare with the amount deducted).
  6. The result is negative, so he has overpaid and receives a refund of RM450 (conclusion).

Worked example 4

A married couple both work. The husband's chargeable income is RM48000 and the wife's is RM40000.

The tax table is: first RM35000 → RM600, and every ringgit above RM35000 at 8%. Under separate assessment each is taxed alone; under joint assessment their chargeable incomes are combined and a RM4000 spouse relief is deducted from the total.

Compare the total tax under each method and state which is lower.

  1. Separate, Husband: 600 + 8% × (48000 − 35000) = 600 + 8% × 13000 = 600 + 1040 = RM1640
  2. Separate, Wife: 600 + 8% × (40000 − 35000) = 600 + 8% × 5000 = 600 + 400 = RM1000
  3. Separate total = 1640 + 1000 = RM2640
  4. Joint: combined = 48000 + 40000 = 88000; less spouse relief RM4000 = RM84000
  5. Joint tax = 600 + 8% × (84000 − 35000) = 600 + 8% × 49000 = 600 + 3920 = RM4520
  6. Difference = 4520 − 2640 = RM1880

Worked example 5

Encik Hafiz's gross annual income is RM95000. His reliefs are personal RM9000, EPF RM4000, lifestyle RM2500, medical for parents RM4500, and SSPN education savings RM3000.

The tax table: first RM35000 → RM600, and the balance at 8%. The RM400 individual rebate applies only if chargeable income does not exceed RM35000.

Calculate his tax payable and his effective tax rate (tax ÷ gross income) correct to 2 significant figures.

  1. Total reliefs = 9000 + 4000 + 2500 + 4500 + 3000 = RM23000
  2. Chargeable income = 95000 − 23000 = RM72000
  3. Tax = 600 + 8% × (72000 − 35000) = 600 + 8% × 37000 = 600 + 2960 = RM3560
  4. Chargeable income > RM35000, so no RM400 rebate; tax payable = RM3560
  5. Effective tax rate = 3560 ÷ 95000 = 0.03747… ≈ 3.7%

Worked example 6

Cik Nurul's chargeable income is RM36000. The tax table is: first RM20000 → RM150; income from RM20001 to RM35000 at 3%; income above RM35000 at 8%.

An individual rebate of RM400 is given only if chargeable income does not exceed RM35000. She can claim an extra RM2000 education (SSPN) relief.

Find her tax payable with and without the extra relief, and the total reduction in tax from claiming it.

  1. Without the extra relief, chargeable = RM36000:
  2. first RM20000 → RM150; next RM15000 (up to RM35000) at 3% = RM450; above RM35000: RM1000 at 8% = RM80
  3. Tax charged = 150 + 450 + 80 = RM680; chargeable > RM35000, no rebate → tax payable = RM680
  4. With the RM2000 relief, chargeable = 36000 − 2000 = RM34000:
  5. first RM20000 → RM150; next RM14000 at 3% = RM420; tax charged = RM570
  6. Chargeable ≤ RM35000, so rebate RM400 applies → tax payable = 570 − 400 = RM170
  7. Reduction = 680 − 170 = RM510

Worked example 7

Puan Zaharah runs a small tailoring business and reports her business income to LHDN every quarter: RM12,000, RM13,500, RM11,000 and RM14,500 for the four quarters of the year. Her total tax reliefs for the year are RM16,000.

The tax table states: tax on the first RM35,000 is RM600, and the rate on the next band (RM35,001–RM50,000) is 8%. A rebate of RM400 applies only if chargeable income does not exceed RM35,000.

Calculate her income tax payable for the year.

  1. Total annual income = RM12,000 + RM13,500 + RM11,000 + RM14,500 = RM51,000
  2. Chargeable income = RM51,000 − RM16,000 = RM35,000
  3. Since the chargeable income is exactly RM35,000, there is no amount in the higher band, so income tax charged = RM600
  4. Since chargeable income does not exceed RM35,000, the RM400 rebate applies
  5. Income tax payable = RM600 − RM400 = RM200

Worked example 8

Encik Danial's employment income is RM65,000 for the year. His reliefs are: individual relief RM9,000, EPF (capped) RM4,000, life insurance premium RM3,000, and child relief of RM2,000 for each of his 3 school-going children, plus a RM1,200 donation to an approved charity, which is fully deductible as a further relief.

The tax table states: tax on the first RM35,000 is RM600, and the rate on the next band (RM35,001–RM50,000) is 8%. A rebate of RM400 applies only if chargeable income does not exceed RM35,000.

Calculate his income tax payable for the year.

  1. Child relief = 3 × RM2,000 = RM6,000
  2. Total reliefs = RM9,000 + RM4,000 + RM3,000 + RM6,000 + RM1,200 = RM23,200
  3. Chargeable income = RM65,000 − RM23,200 = RM41,800
  4. Amount in the higher band = RM41,800 − RM35,000 = RM6,800
  5. Income tax charged = RM600 + 8% × RM6,800 = RM600 + RM544 = RM1,144
  6. Chargeable income exceeds RM35,000, so no rebate applies; income tax payable = RM1,144

Source:DSKP KSSM Mathematics Form 4 and 5 (Versi English)

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Frequently asked questions

What real-world context do taxation KBAT questions use?

These questions often place you in a taxpayer's shoes, comparing tax payable before and after claiming certain reliefs, or evaluating how a change in income or family status affects tax owed. You must interpret a written scenario, decide which reliefs or rebates apply, and complete a full tax calculation.

Why do students struggle to identify which reliefs apply?

Scenarios often list several possible reliefs (self, spouse, children, insurance, etc.) but only some apply based on the details given, like marital status or number of children.

Students who don't carefully match each condition in the question to the correct relief end up including reliefs that don't apply, or missing ones that do.

What demonstrates strong reasoning in a full-mark KBAT taxation answer?

A strong answer clearly justifies why each relief or rebate is included or excluded based on the scenario, shows every calculation stage in order, and ends with a conclusion that directly compares or answers what was asked, such as how much tax is saved. Numbers alone without this reasoning rarely earn full marks.

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