Question

Sudhanshu investex 15000 at interset at the rate 10% for ine year if interest is compoynde evry six months what will sudhanshu get at the emd

Answer 1

Given that Sudhanshu invested 15000(Principal amount). at 10℅ (rate of interest) for one year ( Time) where interest is compounded every six
months( half yearly)

We know that
Compound interest = P(1+I)^n
(p= Principal amount, i= rate of interest, n= number of periods)

n=1year ×2 =2(because interest is compounded half yearly)

CI= 15000(1+10℅/2)^2 [here i is divided by 2 , because interest is compounded half yearly]
=15000(1+0.1/2)^2
=15000(1+0.05)^2
=15000(1.05)^2
=15000(1.1025)
=16537.5

So the amount Sudhanshu recieves at the end is 16537.5