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Simple-Interest Wjec-Eduqas Foundation
Exam code:C300
Simple interest
What is simple interest?
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Interest is money that is regularly added to an original amount of money
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This could be added yearly, monthly, etc
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When saving money, interest helps increase the amount saved
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With debt, interest increases the amount owed
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Simple interest refers to interest which is based only on the starting amount
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Each interest payment (or charge in the case of debt) will be the same
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How do I calculate simple interest?
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To find the total simple interest earned
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Find a percentage (the percentage rate) of the starting amount
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Use a multiplier to do this (e.g. 0.05 to find 5%)
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Multiply this by the number of time periods (e.g. years) it is being applied for
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To find the total balance after the simple interest has been earned
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Use the same method as above, and add this on to the starting amount
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Examiner Tips and Tricks
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Double check:
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Does the question ask for the interest earned, or the total amount at the end?
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Do you need to round your answer? (e.g. to the nearest hundred)
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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
Responses