1: Calculate the amount and compound interest on:
(d) Rs 8,000 for 1 year at 9% per annum compounded half-yearly. (You could use the year-by-year calculation using SI formula to verify.)
Given,
Principal, P = Rs. 8000, Rate, R = 9% per annum compounded half yearly for 1 year.
Now, there are two and a half years in a year. Therefore, compounding has to be 2 times.
And rate = half of 9% = 4.5% half yearly.
Therefore, the required amount = = Rs. 8736.20
And Compound Interest, CI = Amount - Principal = Rs. (8736.20 - 8000) = Rs. 736.20
P = 8000
R = 9%
2÷9%= per half yearly
(N) is 1 year
=2 half years
P= RS 8000
R= 9%
N= 3 years.
CI= 8000(1+9/100)3
8000 x (109/100)3
= to cut the answer, the answer is 10360.30
= (10360.232-8000)
Ans= 2360.232RS