Firstly, you should calculate the prices of your market basket, which basically means multiply all the goods with their prices and then add them together in their respective years. This would give you $260, $440, $690 and $1200 in the years 2010 to 2013 respectively. (follow along by noting everything down)
We see that the base year is 2013, therefore if we want to calculate the inflation rate from 2010 to 2011, we have to calculate their price indices. We do this by dividing the maket basket of our chosen years by the market basket of the base year, therefore the price index of 2010 is $260/$1200, giving us 21.6. The price index of 2011 would be $440/$1200, giving us 36.6. To calculate the inflation rate, you find the difference between your two price indices and divide it by the former year, which would be 36.6 - 21.6 / 21.6 x 100, giving us the inflation rate of 69.2%.