(Q). calculate the amount and C.I on rupees 4000 at 2.5% per annum compounded annually for three years.
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Principal,P =Rs.18000, Rate,R = 10% and time period,n = 2.5 years.
We know, Amount when interest is compounded annually = P(1+\frac{R}{100})^n
Amount after 2 years at 10% , A = 18000(1+\frac{10}{100})^2 = Rs.21780
This acts as the principal amount for the next half year.
SI on next 1/2 year at = \frac{21780\times\frac{1}{2}\times10}{100}= Rs. 1089
Therefore, Total amount to be paid after 2.5 years = Rs. (21780+1089) = Rs.22869
Now, Compound Interest after 2 years = A - P = Rs.(21780-18000) = Rs. 3780
Therefore, Compound Interest after 2.5 years, CI = Rs. 3780 + SI = Rs.4869
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