For compound interest, the formula is given below:
Amount = [tex]P(1+\frac{r}{100} )^{n}[/tex]
Here, P = 18,800
n = 2
r = 13/100
So, Amount = [tex]18,800(1+\frac{13}{100} )^{2}[/tex]
[tex]18,800(1.13)^{2}[/tex]
= 18,800 × 1.2769
= 24005.72
Compound Interest = Amount - Principal
Compound Interest = 24005.72 - 18800
= 5205.72
Hence, the compound interest for Rs.18,800, calculated for 2 years at 13% rate of interest compounded annually is Rs.5205.72.