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Calculate the amount and compound interest on
(a) Rs 10800 for 3 years at 
per annum compounded annually.
(b) Rs 18000 for 
years at 10% per annum compounded annually.
(c) Rs 62500 for 
years at 8% per annum compounded half yearly.
(d) Rs 8000 for 1 year at 9% per annum compound half yearly.
(You could use the year by year calculation using SI formula to verify)
(e) Rs 10000 for 1 year at 8% per annum compounded half yearly.
Asked by Sushma Last Modified
Answer (a) Principal (P) = Rs 10, 800
Rate (R) = = 
% (annual)
Number of years (n) = 3
Amount, A =
C.I. = A − P = Rs (15377.34 − 10800) = Rs 4,577.34
(b) Principal (P) = Rs 18,000
Rate (R) = 10% annual
Number of years (n) =
The amount for 2 years and 6 months can be calculated by first calculating the amount for 2 years using the compound interest formula, and then calculating the simple interest for 6 months on the amount obtained at the end of 2 years.
Firstly, the amount for 2 years has to be calculated.
By taking Rs 21780 as principal, the S.I. for the next 
year will be calculated.
∴ Interest for the first 2 years = Rs (21780 − 18000) = Rs 3780
And interest for the nextyear = Rs 1089
∴ Total C.I. = Rs 3780 + Rs 1089 = Rs 4,869
A = P + C.I. = Rs 18000 + Rs 4869 = Rs 22,869
(c) Principal (P) = Rs 62,500
Rate = 8% per annum or 4% per half year
Number of years =
There will be 3 half years inyears.
C.I. = A − P = Rs 70304 − Rs 62500 = Rs 7,804
(d) Principal (P) = Rs 8000
Rate of interest = 9% per annum or 
% per half year
Number of years = 1 year
There will be 2 half years in 1 year.
C.I. = A − P = Rs 8736.20 − Rs 8000 = Rs 736.20
(e) Principal (P) = Rs 10,000
Rate = 8% per annum or 4% per half year
Number of years = 1 year
There are 2 half years in 1 year.
C.I. = A − P = Rs 10816 − Rs 10000 = Rs 816
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