Find the amount that David would receive if he invests Rs 8192 for 18 months at 12.5%  per annum, the interest being compounded half-yearly.

Explanation

Given:
Principal `(P)=Rs.8192`
Rate `(R)=12.5%` per annum`=25/2×2=25/4%=12.5/2%`(half yearly)
Time `(n)=18` months`=18/12=1.5` years`=(3/2)times2=3` years
By using the formula, `A=P(1+R/100)^n`
`= 8192(1+12.5/(2×100))^3`
`=8192(212.5/200)^3`
`=Rs9826`
Hence, the amount is `Rs.9826`.