Week 349 (14th June 2024)

Helen bought a new car a few years ago. 

In the first year after she bought the car, its value depreciated at a rate of 23% per annum.  

In the second year after she bought the car, its value depreciated at a rate of 19% per annum.  

At the end of the second year the car was worth £10,914.75. 

What was the value of the car when Helen bought it?  

Answer: 

To work out the value of her car after the end of the first year we can divide by the percentage multiplier:

10914.75 / 0.81 = 13475

And then using the same method for the initial price she bought it for: 13475 / 0.77 = £17,500.00.