Week 282 (27th January 2023)

Charlie has been saving part of his salary each month. He invests £6000.00 at a simple interest rate of r% each year.  

After 6 years the value of Charlie’s investment is £7170.00 

Find the value of r. 

Answer:  

Formula for simple interest: 

A = P(1+rt) 

Where: 

A = Final amount 

P = Principal at start 

r = Interest rate 

t = Time 

So: 

7170 = 6000 (1 + 6r) 

7170 = 6000 + 36000r 

r = 1170/36000 = 0.0325 = 3.25%