Simple Interest (Edexcel GCSE Maths)
Revision Note
Simple Interest
What is simple interest?
Interest is money that is regularly added to an original amount of money
This could be added yearly, monthly, etc
When saving money, interest helps increase the amount saved
With debt, interest increases the amount owed
Simple interest refers to interest which is based only on the starting amount
Each interest payment (or charge in the case of debt) will be the same
How do I calculate simple interest?
To find the total simple interest earned
Find a percentage (the percentage rate) of the starting amount
Use a multiplier to do this (e.g. 0.05 to find 5%)
Multiply this by the number of time periods (e.g. years) it is being applied for
To find the total balance after the simple interest has been earned
Use the same method as above, and add this on to the starting amount
Examiner Tips and Tricks
Double check:
Does the question ask for the interest earned, or the total amount at the end?
Do you need to round your answer? (e.g. to the nearest hundred)
Worked Example
A bank account offers simple interest of 4% per year. Nigel puts ££ 250 into this bank account, and leaves it to earn interest for 6 years.
(a) Find the total amount of interest earned over the 6 year period.
Each year, 4% of the starting amount is added as interest
Find 4% of £ 250 using a multiplier
0.04 × 250 = 10
This amount of interest is earned every year, for 6 years
10 × 6 = 60
£ 60 of interest is earned
(b) Find the total amount in the bank account at the end of the 6 year period.
Add the amount of interest earned, found in part (a), to the starting amount
250 + 60 = 310
£ 310
Worked Example
Noah invests £ 9000 at a rate of simple interest per year, for 5 years. At the end of 5 years there is £ 11 700 in the account. Find the value of .
Find the total amount of interest earned over the 5 years
11 700 - 9 000 = £ 2 700 total interest
As we are dealing with simple interest, the same amount of interest is earned each year
Find the interest earned each year
2 700 ÷ 5 = £ 540 interest per year
Find what percentage of the original amount this represents
£ 540 is 6% of the original £ 9000
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