Property and consumption tax questions are percentage questions with a stated rate and a stated base. Read what the rate applies to, calculate, then check the size of the answer.
This lesson belongs to SPM Mathematics taxation. It follows the income tax lessons such as calculating a tax amount from supplied data. All rates and values below are invented for practice.
Example 1: a property tax based on annual value
An original question states that a house has an annual value of RM14 400 and the property tax is 5% of the annual value each year, paid in two equal instalments.
Yearly tax = 14 400 × 0.05 = RM720. Each instalment = 720 ÷ 2 = RM360.
Check the size: 5% of about RM14 000 is about RM700, so RM720 is reasonable, and half of it is RM360.
Example 2: a land tax based on area
A plot of land measures 450 m². The question states a yearly rate of RM0.40 per square metre. Tax = 450 × 0.40 = RM180.
A quick check is to round: 450 × 0.4 is roughly 400 × 0.4 = 160 plus 50 × 0.4 = 20, which gives 180.
Example 3: sales tax and service tax
A product costs RM250 before tax and sales tax of 10% is charged. Tax = 250 × 0.10 = RM25, so the total is RM275.
A restaurant bill is RM180 with a service tax of 8%. Tax = 180 × 0.08 = RM14.40, and the total is RM194.40. Notice that each rate applies to the stated pre-tax amount.
The reverse question
Here is the usual trap. A total of RM330 includes a 10% sales tax, and the question asks for the price before tax.
The correct method is to divide by the multiplier: 330 ÷ 1.10 = RM300, so the tax is RM30.
The wrong method takes 10% of RM330, which is RM33, and subtracts it to get RM297. The error comes from treating RM330 as the base, when the 10% was charged on the smaller pre-tax price.
| Step | Wrong | Right |
|---|---|---|
| Tax amount | 10% of 330 = RM33 | 330 ÷ 1.10 = 300, tax RM30 |
| Pre-tax price | RM297 | RM300 |
| Check | 297 × 1.10 = 326.70, not 330 | 300 × 1.10 = 330 |
The check at the bottom is the habit to keep. Multiply your pre-tax price by the multiplier and confirm you reach the given total.
Check yourself
A bill with a 6% service tax comes to RM424. Find the amount before tax and the tax charged. Then find the yearly property tax on an annual value of RM9 600 at 7%.
Answer
Before tax: 424 ÷ 1.06 = RM400. The tax is 424 − 400 = RM24. Check: 400 × 1.06 = 424.
Property tax: 9 600 × 0.07 = RM672 per year.
What to study next
The taxation mathematics practice set mixes all three kinds of tax calculation with income tax. For the order of steps when income and reliefs are involved, revisit distinguishing taxable income and relief.
If percentage reversals are a weak spot, online one-to-one Mathematics tuition gives a teacher time to rebuild the idea with you.