The total price of purchasing a basket of goods in the United Kingdom over four years is: year $1=2940$ year $2=\mathrm{E} 970,$ year $3=\underline{\mathrm{E}} 1000,$ and year $4=£ 1070$ Calculate two price indices, one using year 1 as the base year (set equal to 100 ) and the other using year 4 as the base year (set equal to 100 ). Then, calculate the inflation rate based on the first price index. If you had used the other price index, would you get a different inflation rate? If you are unsure, do the calculation and find out.