Calculate the compound interest and amount on Rs. 1600 for `1 1/2` years at the rate of 10% compound interest per annum compounded at the interval of 6 months.

Explanation

Here principal `=Rs. 1600` rate of interest `=10%` time `=1 1/2` years `=3/2` years, period `=12/6=2`
Hence the required amount `=Rs. 1600(1+(10/2)/100)^(3/2xx2)`
`=Rs. 1600(1+1/20)^(3)=Rs. 1600(21/20)^(3)`
`=Rs. (1600xx21xx21xx21)/(20xx20xx20)=Rs. 1852.20`
`:.` Required compound interest `=Rs. (1852.20-1600)=Rs. 252.20`
Hence the required compound interest `=Rs. 252.20` and the required amount `=Rs. 1852.20`