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Find compound interest on ₹ 5000 for 2 years at 10% per annum, compounded half-yearly.
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- ₹ 1077.5
- ₹ 1072.5
- ₹ 1000
- ₹ 1100
Correct Option: A
Using the given formula ,
A = P | ![]() | 1 + | ![]() | 2t | |
200 |
Interest is compounded half-yearly ,
Here, P = ₹ 5000 , r = 10% per annum , t = 2 years
So, A = 5000 | ![]() | 1 + | ![]() | 4 | |
200 |
A = 5000 | ![]() | 1 + | ![]() | 4 | |
100 |
A = 5000 × | = | ||
160000 | 32 |
A = ₹ 6077.5
∴ CI = A - P
CI = ₹ (6077.5 – 5000) = ₹ 1077.5.