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Step-by-step explanation:
1) Compounded Annually :
P=Rs.80000
R=10% p.a.
T=1 1/2 years ⟹n = 1+ 1/2
Amount for 1st year.
A=P[ 1+ R/100]^n
=Rs.80000 [1+ 10/100] = =Rs.88000
SI on Rs. 88000 for next 1/2 year
=Rs.88000 * 10/100 * 1/2 =Rs.4400
Therefore, Amount = Rs.88000+Rs.4400 = 92400Rs.
2) Compounded half yearly :
P=Rs.80000
R=10% p.a.=5% per half year
T=1 1/2 years ⟹n=3
A=Rs.80000[1+ 5/100]^3
A=Rs.92610
Thus, the difference between the two amounts
= Rs.92610−Rs.92400
=Rs.210
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