Billy invests £800 for 5 years in a savings account. By the end of the 5 years he has received a total of £96 simple interest.

Work out the annual rate of simple interest?

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Answer:

2.4%

Step-by-step explanation:

800×5=4000

96÷4000=0.024

0.024×100=2.4%

The annual rate of simple interest for this case of investment made by Billy is 2.4% per annum.

How to calculate simple interest amount?

If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest, then the interest amount earned is given by:

[tex]I = \dfrac{P \times R \times T}{100}[/tex]

For this case, we're specified that:

  • P =  £800
  • T = 5 years
  • I =  £96

Thus, putting these values in the equation stated above:

[tex]96 = \dfrac{800 \times R \times 5}{100}\\\\R = \dfrac{96}{8 \times 5} =2.4 \: \rm percent[/tex] (per annum)

Thus, the annual rate of simple interest for this case of investment made by Billy is 2.4% per annum.

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