The multiplier = 100% + 2.5% = 102.5% = 1.025
Number of years = 5
Final value= 3000
Final value = Principal value × [tex] Multiplier^{(number of years)} [/tex]
[tex]3000=x (1.025)^{5} [/tex]
[tex] \frac{3000}{1.025^{5} }=x [/tex]
[tex]x=2651.56[/tex]
Hence, principal value is $2651.56