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2025 Unit 10 Percentage (Study Notes, with Assignments) p4

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2025 Unit 10 Percentage (Study Notes, with Assignments) p5

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Watch how to do selected parts of this Practice if you need help.

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Percentage: Expressing one quantity as a percentage of another

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Watch how to do selected parts of this activity if you need help.

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Percentage - Conversion: Percentage, Fraction, Decimal

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2025 Unit 10 Percentage (Study Notes, with Assignments) p6

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This topic "Percentage" builds on the knowledge and skills you learnt in primary school.

E.g. Calculation involving percentage changes, profit and loss and discount.

You will come across new terms to describe what you already know.

E.g. "Reverse Percentage".

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Watch how to do selected parts of this Practice if you need help.

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Percentage - Percentage Change, Reverse Percentage (1)

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You will learn the following parts on your own - to recap and revise what you already know.

These sections are marked with [SDL✍️]

Sections 1.1, 1.2, 1.3, 1.4

Sections 2.1 (Reverse Percentage)

sections 3.1 (Profit & Loss) & 3.2 (Discount)

[‼️] Your teacher will go through the rest of the newer concepts with you:

Section 2.2 (Percentage Point)

Section 3.3 (GST, Service Charge)

Section 3.4 (Commission)

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MORE Examples [Word Problem] Sales involving Percentage Changes 

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MORE Examples [Word Problem] Sales involving Percentage Changes 

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Question:

The value of a painting increased by 5% in 2012.

In 2013, its value decreased slightly by 2% of its value in the first half of 2013 and increased 40% at the end of 2013.

Given that the value of the painting at the end of 2013 is $52,640, find the original value of the painting.

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S1 Maths Percentages - Problem Solving 02

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📖 Let's find out what Percentage Point is and its difference, between Percent and Percentage Points

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📖 Let's find out what Percentage Point is and its difference, between Percent and Percentage Points

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Learn what is: Percentage Point and its significance in data analysis and statistics.

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MORE Examples [Word Problem] Reverse Percentage

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MORE Examples [Word Problem] Reverse Percentage

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Exercise 8B Question 9

If 10% is deducted from a bill, $58.50 remains to be paid. How much is the original bill?

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MORE Examples [Word Problem] Sales involving Profit & Loss

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MORE Examples [Word Problem] Sales involving Profit & Loss

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Question:

(a) Mr Tan usually sells printers for $420 each. He disposes a display set by reducing the price by 10.5%. Find the selling price of the display set.

(b) When teh printer is sold at the usual price at $420, Mr Tan makes a profit of 16 2/3% on the cost price. Find the price paid by Mr Tan.

(c) Find the profit that Mr Tan makes on the display set, as a percentage of cost price.

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S1 Maths Percentages - Problem Solving 01

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📖 Happening in Singapore: 2 percentage point GST hike 

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📖 Happening in Singapore: 2 percentage point GST hike 

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From the article, try to understand what it means by 2 percent point GST hike

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No need for further GST increases up to 2030: DPM Lawrence Wong

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He said the two percentage point hike was meant to close the gap between revenue and expenditure until 2030. Read more at straitstimes.com.

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🕸️ From IRAS: What is GST  and How it works?

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🕸️ From IRAS: What is GST  and How it works?

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Learn the basics of GST from the IRAS website

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An exception where a non-GST registered person is required to charge and account for GST is when it sells or rents out a GST-registered business assets in satisfaction of a debt owed. This applies to non-GST registered third parties, such as mortgagees, financiers and auctioneers. For details on how to account for GST in such scenario, please refer to our page on selling/ renting out asset in satisfaction of debt.

There are exceptions where non-GST registered businesses in specific industries are given concessions (subject to conditions) by the Minister to claim the GST incurred. These exceptions are:

1. Qualifying funds that are managed by a prescribed fund manager in Singapore can claim GST incurred on prescribed expenses at an annual fixed recovery rate via remission.

Details of the GST remission (such as the types of qualifying funds, qualifying conditions, prescribed list of expenses and procedures to claim GST) are explained in the circular issued by the Monetary Authority of Singapore (MAS).

2. Real Estate Investment Trusts and Qualifying Registered Business Trusts listed on the Singapore Exchange (i.e. S-REITs and qualifying S-RBTs) can claim GST on expenses incurred for their business and their Special Purpose Vehicles (SPVs).
This GST concession applies regardless whether the S-REIT or S-RBT is eligible for GST registration.

For details, please refer to GST: Concession for REITS and Qualifying Registered Business Trusts Listed in Singapore (PDF, 962KB)

To claim the GST incurred, qualifying funds, S-REITs and S-RBTs need to submit a quarterly Statement of Claims to IRAS within one month from the end of the respective quarters.

As an administrative concession, funds and trusts may file their quarterly Statement of Claims after the due date, subject to the following conditions:

1. The GST claims are made on tax invoices dated within the relevant quarter; and

2. The quarterly Statements of Claims are filed within 5 years from the end of the relevant quarter.

For example:

Period of claims: 1 Apr 2023 to 30 Jun 2023

Qualifying funds, S-REITs and S-RBTs can submit the Statement of Claims latest by 30 Jun 2028.

Example 1: How a business charges output tax and claims input tax

A GST-registered manufacturer imports leather from overseas to manufacture a bag. The manufacturer sells the bag to a GST-registered retailer. Thereafter, the retailer sells the bag to a consumer.

This is how GST works at each stage of the value chain:

1. Manufacturer

Pays GST to Singapore Customs for the import of leather

Import GST paid = 9% X $100 = $9 (input tax claimable from IRAS)

Charges and collects GST for sale of bags to retailer

GST charged to retailer = 9% X $200 = $18 (output tax payable to IRAS)

3. End consumer

Pays GST to Retailer
Purchase value = $300
GST paid = 9% X $300 = $27
End consumer is not GST-registered. Therefore, he cannot claim the GST paid on his purchase from IRAS.

Paying output tax and claiming input tax

If you are a GST-registered business:

1. You must submit your GST return to IRAS within a month from the end of each prescribed accounting period. This is usually done on a quarterly basis.

2. You should report both your output tax and input tax in your GST return.

3. The difference between output tax and input tax is the net GST that is payable to IRAS or refundable by IRAS.

FAQs

Why must Singapore implement GST?

GST was introduced in 1 Apr 1994 to enable Singapore to shift its reliance from direct taxes to indirect taxes. GST has also enabled Singapore to sustain a lower income tax rate. Being a tax on consumption, and not income, GST inherently encourages savings and investments.

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Goods and Services Tax (GST) What it is and how it works

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Taxable and non-taxable goods and services, liability to register for GST, charging and claiming GST, paying output tax and claiming input tax.

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Curious about service charge in Singapore? Learn what it covers, how it differs from tipping, and its role in restaurant and hotel bills.

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MORE Examples [Word Problem] Reverse Percentage - value appreciates over years

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MORE Examples [Word Problem] Reverse Percentage - value appreciates over years

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Exercise 8B Question 16

(note: Year was adjusted to 2017 (from 2018))

Every year, the value of a condominium in Singapore appreciates by 15% of its value in the previous year. If the value of the condominium was $899 300 in 2020, find its value in 2017.

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Word Problem - Reverse Percentage (value appreciates over years)

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MORE Examples [Word Problem] Discount, Goods & Services Tax (GST)

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MORE Examples [Word Problem] Discount, Goods & Services Tax (GST)

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Exercise 8C Question 18

(note: GST in this Qn was adjusted to 8%(from 7%))

Yi Hao orders one plate of seafood fried rice at a restaurant which offers a 25% discount. The marked price of the seafood fried rice is $9.50. Given that there is a service charge of 10% and GST is 8%, find the total amount of money he has to pay.

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Word Problem: Discount, Goods & Services Tax (GST)

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MORE Examples [Word Problem] Reverse Percentage (investment over years)

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MORE Examples [Word Problem] Reverse Percentage (investment over years)

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Exercise 8B Question 18

The value of an investment portfolio decreased by 8% in 2018. In 2019, its value increased by 5% of its value in 2018. Given that the value of the portfolio at the end of 2019 was $61 824, find its original value.

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Word Problem - Reverse Percentage (investment over years)

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MORE Examples [Word Problem] Sales involving Profit & Loss (reverse percentage)

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MORE Examples [Word Problem] Sales involving Profit & Loss (reverse percentage)

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Exercise 8C Question 12

Siti buys a fax machine and sells it to Li Ting at a gain of 25% on the cost price. Li Ting then sells the fax machine to Nadia at a loss of 25% on the price at which she buys it from Siti. If Nadia pays $360 for the fax machine, how much did Siti pay for it?

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Word Problem - Reverse Percentage (sales involving loss and profit)

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SLS Lesson

Attempt the SLS lesson first - It warms you up with the topic & gives you an overview

Study Notes

Work on the Activities & Practices in the notes before checking your answers here.

You can also learn from the worked examples - pay attention to the strategies used and how the working is presented clearly.

Assignments

Attempt Assignments 10.1 & 10.2 on your own to check your mastery. We'll check answers when school reopens.

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2025 Unit 10 Percentage (Study Notes, with Assignments) p7

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Exercise 8C Question 17

On its 16th anniversary, Brand A offers a 16% discount on all items. Members of Brand A are given an additional 14% discount.

(i) A non-member bought an item for $420 during the sale. Find the marked price of that item.

(ii) Find the sale price of the same item if the member buys it.

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2025 Unit 10 Percentage (Study Notes, with Assignments) p3 SLS

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Exercise 8C Question 19

Joyce's monthly income consists of a basic salary of $500 and a commission of 4% on her sales for the month. If her income is $1220 for a particular month, find her sales for that month.

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Word Problem - Commission (with Basic Salary)