Suppose that the residents of Vegopia spend all of their income on cauliflower, broccoli, and carrots. In 2014 they buy 100 heads of cauliflower for $\$ 200,50$ bunches of broccoli for $\$ 75,$ and 500 carrots for $\$ 50 .$ In 2015 they buy 75 heads of cauliflower for $\$ 225,80$ bunches of broccoli for $\$ 120,$ and 500 carrots for $\$ 100 .$ If the base year is $2014,$ what is the CPI in both years? What is the inflation rate in $2015 ?$