In 2003 the state pension was increased by 2% to £78.03. what was the state pension before this increase?

I dont know for Sure but i think it is
76.4694 (or Rounded 76.47)

Let the pension before increase be x.

When it was increased by 2%, that means became (100% + 2%) = 102% = 102/100 = 1.02

When the factor of 1.02 was applied it became £78.03

x*1.02 = 78.03

x = 78.03/1.02

x = 76.5

So the pension before the increase was £76.50 

Hope this helped.