Simple Interest Clinic: The Complete 8-Part Series

An 8-part Mathematics series that fixes the simple interest gaps that cost marks in WASSCE and NOVDEC.

Simple interest looks like one of the easiest topics in Mathematics. There’s one formula, and most students can say it from memory. Yet it keeps costing marks in WASSCE and NOVDEC, because the questions hide the numbers inside money stories, mix up months and years, and ask for the amount when you’ve only found the interest.

This series fixes those gaps one at a time. Start with Part 1 and work through in order. Each part builds on the one before.

What you’ll be able to do by the end

  • Say exactly what P, R, T, I and A stand for in any money story
  • Match the rate and the time correctly, whether they’re in years, months or days
  • Tell whether a question wants the interest or the amount
  • Find the principal, rate or time when the question works backwards
  • Spot the exact line where a wrong answer first went wrong

Simple interest in one page

Simple interest questions appear in almost every Core Maths paper, and they are full of small traps: the wrong time unit, the wrong money quantity, or a percentage divided by 100 twice. Here is the whole topic in six ideas. Each lesson below goes deeper.

1. Five letters, one money story

The five letters: P start money, R rate per period, T how long, I extra money, A end money
P is the start, I is the extra, A is the end.

2. One formula, four jobs

I = \frac{PRT}{100} \qquad A = P + I
The simple interest formula rearranged: I = PRT ÷ 100, P = 100I ÷ RT, R = 100I ÷ PT, T = 100I ÷ PR
Rearrange before you substitute.

3. Time must match the rate

A rate per annum needs the time in years: 9 months is 9 ÷ 12 = 0.75 year. A rate per month keeps the time in months.

A rate per annum needs time in years (9 months = 0.75 year); a rate per month needs time in months
The rate’s period decides the unit of time.

4. Interest or amount?

Same figures, two questions: find the interest gives GH₵600; find the amount gives GH₵2,600
The same figures give GH₵600 or GH₵2,600, depending on the last line of the question.

5. Working backwards

When the amount is given, think of it as a percentage of the principal. At 10% for 2 years, the amount is 120% of the principal.

At 10% for 2 years, the amount is 120% of the principal: 120% = GH₵2,400, so 1% = 20 and P = GH₵2,000
Find 1%, then 100%.

6. Check before you write

Three checks for simple interest answers: time matches rate, divide by 100 once, interest or amount
Three checks catch most simple interest errors.

The lessons

Practise as you go

After each part, try a few questions in the Business Maths Practice Zone. The feedback on each answer shows you which gap is still there. Stuck on a question? Send it to me.

Want a quick recap first? Read Financial Maths: 5 Simple Interest Mistakes to Correct.

The simple interest mistakes examiners see most

MistakeFix
Nine months used as T = 9 with a yearly rateT = 9 ÷ 12 = 0.75
Interest given when the amount was askedAdd the principal: A = P + I
Amount used as the principalStart money is P; end money is A
0.08 used and then divided by 100 againDivide by 100 once only
T = I ÷ R when finding timeT = 100I ÷ (PR)

Questions learners often ask

What is the simple interest formula?

I = PRT ÷ 100, where P is the principal, R the rate per period and T the time in the same period.

How do I find the amount?

Add the interest to the principal: A = P + I.

What is the difference between simple and compound interest?

Simple interest is always worked out on the original principal, so it adds the same amount each year. Compound interest is worked out on a growing balance.

This clinic is part of How to Pass WASSCE and NOVDEC Core Maths. Simple interest also connects to the Business Maths Clinic.

Sources and further reading

The mistakes and topics in these lessons come from what WAEC examiners report year after year, matched to Ghana’s SHS curriculum. You can read the original sources here:

Dickson Sarpong, SHS Mathematics teacher and founder of The Maths Clinic
Written by Dickson Sarpong

NTC-certified SHS Mathematics teacher in Ghana with WAEC marking experience, and author of The Bridge Series textbooks. Every lesson here is built around the mistakes WAEC examiners keep reporting.

About DicksonStuck? Ask a question
The Bridge Series: The Bridge to Mathematics and The Bridge to Additional Mathematics for SHS

Want the whole topic, step by step? My textbooks, The Bridge to Mathematics and The Bridge to Additional Mathematics for SHS, follow the new curriculum and rebuild the basics as you go.

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