I downloaded a Cabinet Paper called Defence Expenditure in Future Years (date December 1937) from the National Archives website some time ago. In the appendices was TABLE III. COST OF CONSTRUCTION OF VARIOUS CLASSES OF SHIPS. It compared the cost of World War One warships with the ships being built at the time. Here are some figures that I think might be relevant.
Capital Ships
The above are approximate total costs.
Capital Ships
£8,000,000 King George V (including aircraft £75,000)
£7,600,000 Rodney
£7,500,000 Nelson
Cruisers £7,600,000 Rodney
£7,500,000 Nelson
£2,400,000 Norfolk
£2,200,000 Liverpool (including aircraft £55,700)
£2,175,000 Glasgow (including aircraft £55,700)
£1,650,000 Dido
£1,400,000 Penelope (including aircraft £22,000)
£1,400,000 Aurora (including aircraft £22,000)
Destroyers £2,200,000 Liverpool (including aircraft £55,700)
£2,175,000 Glasgow (including aircraft £55,700)
£1,650,000 Dido
£1,400,000 Penelope (including aircraft £22,000)
£1,400,000 Aurora (including aircraft £22,000)
£595,000 Tribal class
£575,000 "K" class
£380,000 "I" class
£335,000 "A" class
£575,000 "K" class
£380,000 "I" class
£335,000 "A" class
The above are approximate total costs.