Simple Interest (Cambridge O Level Maths)

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Simple Interest

What is simple interest?

  • Interest is extra money added every year (or month) to an original amount of money
  • Simple interest is interest that is the same amount each time
    • It can be good: for example, putting £100 into a bank account and the bank rewarding you with simple interest of 10% every year
      • After one year you’d have £110, after two years you’d have £120, …
    • It can be bad: for example, owing £100 to a friend and they charge you simple interest of 10% for every year you don’t pay them back
      • After the first year you’d owe them £110, after the second year you’d owe them £120, …
  • If £P is your initial amount of money and simple interest is added to it at a rate of R% per year for T years, then the total amount of interest gained, £I, is given by the formula 

I equals fraction numerator P R T over denominator 100 end fraction

  • Remember that this formula calculates the amount of simple interest added over T years, not the total amount of money after T years
    • To find the total amount of money after T years, add the interest £I to the original amount £P

Examiner Tip

  • Exam questions will state “simple interest” clearly in the question, to avoid confusion with compound interest
  • Pay attention to how some questions want the final answers (for example, to the nearest hundred)

Worked example

A bank account offers simple interest of 8% per year. I put £250 into this bank account for 6 years. Find

(a) the amount of interest added over 6 years,

(b) the total amount in my bank account after 6 years.

(a) Substitute P = 250, R = 8 and T = 6 into the formula I equals fraction numerator P R T over denominator 100 end fraction to find the simple interest, I
 

I space equals fraction numerator space 250 cross times 8 cross times 6 over denominator 100 end fraction equals 120
 

The amount of interest over 6 years is £120

(b) The total amount after 6 years is the original amount, £250, plus the interest from part (a), £120
 

250 + 120
 

The total amount in my bank account after 6 years is £370

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Mark

Author: Mark

Expertise: Maths

Mark graduated twice from the University of Oxford: once in 2009 with a First in Mathematics, then again in 2013 with a PhD (DPhil) in Mathematics. He has had nine successful years as a secondary school teacher, specialising in A-Level Further Maths and running extension classes for Oxbridge Maths applicants. Alongside his teaching, he has written five internal textbooks, introduced new spiralling school curriculums and trained other Maths teachers through outreach programmes.