The table below reports a CPI value for five different major cities in June $2023.$

Use this information to answer the question below.

City CPI $($June $2023)$

New York $257\mathrm{.}069$

Detroit $219\mathrm{.}685$

Seattle $242\mathrm{.}787$

Los Angeles $239\mathrm{.}940$

Chicago $225\mathrm{.}161$

Assume that you received a $$5,000$ raise in your nominal income during June, $2023.$ In which city would the purchasing power of that raise be greatest:

a$.$

New York

b$.$

Detroit

c$.$

Seattle

d$.$

Los Angeles

e$.$

Chicago