The following table shows the $2014$ and $2024$ annual vehicle insurance premiums for three types of

coverage, as shown below.

$2010$ is the reference year with an index value of $100.$ The weight of Comprehensive coverage is two

times that of the Uninsured Motorist, and the weight of the Collision option is three times that of

Uninsured Motorist.

Calculate the index for $2020,$ and then use it and the $2020$ index and premiums to calculate the

premiums in $2024$ when the index is $125.$