A random, sample of $100$ households has been selected in order to establish a price index

for housing utilities. The following average annual figures have been obtained.

Prices $($Kwachas per Unit$)$ Quantities

$20202021202220232020202120222023$

Electricity $59161506270630062646870$

Gas $237002475025800264008\mathrm{.}79\mathrm{.}09\mathrm{.}510\mathrm{.}1$

Water $870900930960296297298300$

Telephone $720073507500750055565860$

The units are: thousand kilowatt hours for electricity, hundred thermos for gas, hundred

cubic metres for water, and hundred message unit equivalents for the telephone.

REQUIRED:

A$.$ Calculate unweighted aggregate price indexes for $20212023$ using $2020=100$