For compound interest, the formula is given below:
Amount =
![P(1+(r)/(100) )^(n)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/ndzzjyi7buvzjyeddmcnmwemc6hsfi8zl1.png)
Here, P = 18,800
n = 2
r = 13/100
So, Amount =
![18,800(1+(13)/(100) )^(2)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/cvgjtaqef5wkijf6hmytoioq41rtvuwykb.png)
![18,800(1.13)^(2)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/wqu8dmoafqn3bsnqeryjj43h9q4lomxi8v.png)
= 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.