Credit to niuguitarman for the chords to the original, I've merely transposed it 
and added in the extra bits/key changes from Cocker's version. You could play it 
as Am with a capo on the 5th fret if you so wished, transpose it 5 steps down 
using controls if applicable.

[Intro]
Dm | Bb (repeat)

[verse 1:]
Dm          Dm/C                G/B                    Bb         A
  Hot town, summer in the city; back of my neck getting dirty and gritty
Dm           Dm/C             G/B                 Bb             A
  Been down, isn't it a pity; doesn't seem to be a shadow in the city
A              A7
  All around, people looking half dead
Dm                       D
Walking on the sidewalk, hotter than a match head

[chorus:]
G                     C
  But at night it's a different world
G            C
  Go out and find a girl
G                      C
  Come-on come-on and dance all night
G                        C
  Despite the heat it'll be alright
    Em              A
And babe, don't you know it's a pity
         Em         A
That the days can't be like the nights
       Em             A
In the summer, in the city
       Em             A
In the summer, in the city

[Link]
Dm | Bb (repeat)

[verse 2:]
Cool town, evening in the city; Dressing so fine and looking so pretty
Cool cat, looking for a kitty; Gonna look in every corner of the city
Till I'm wheezing like a bus stop
Running up the stairs, gonna meet you on the rooftop

[chorus]

[Link]

[Instrumental break]
Chords as verse

[chorus]

[Link to outro]
F#m | B (repeat)

[Outro] (Verse but up a tone)
Em | Em/C | A/C# | C B |