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Question

Find the amount and compound interest on Rs. 1,00,000 compounded semi-annually for 112 years at the rate of 8 % p.a.

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Solution

Given data :
p= Rs. 1,00,000
t=1.5 years
r=8%=8100=0.08

The formula to find the amount is
A=p(1+rn)nt, here n=2 [ interest is compounded annually)
=1,00,000(1+82×100)2×1.5
=1,00,000(208200)3
=1,00,000×(104)3(100)3
Amount = Rs. 112486.4

Compound interest = Amount Principle
C=Ap
C=112486.4100000
C= Rs. 12486.4

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