Find the amount and compound interest on a sum of ₹8, 000 at 5% per annum for three years compound annually.explian the answer
Answers
Answer:
- Compound Interest = Rs. 1261
- Step-by-step explanation: Given that, Principal = Rs. 8000. ...
- Amount = = 8000(1 + 5/100)^3. = 8000(105/100)^3. = 8000 * 105/100 * 105/100 * 105/100.
- ∵ Amount = Rs. 9261.
- Compount Interest = Amount - Principal. = Rs. 9261 - Rs.8000. = Rs. ...
Step-by-step explanation:
Principal for the first year = Rs.8000, Rate = 5% per annum, T = 1 year
Interest for the first year =
P×R×T/100
=
8000×5×1/1000 = Rs.400
∴ Amount at the end of the first year = Rs. (8000 + 400) = Rs. 8400
Now principal for the second year = Rs.8400
Interest for the second year =
100/
P×R×T
=8400×5×1 = Rs.420
∴ Amount at the end of the second year = Rs. (8400 + 420) =Rs.8820
Interest for the third year =
100
P×R×T
=Rs.
100
8820×5×1
=Rs.441
∴ Amount at the end of the third year = Rs.(8820 + 441) = Rs. 9261
Now we know that total C.I. = Amount - Principal = Rs. (9261 - 8000) = Rs. 1261
we can also find the C.I. as follows
Total C.I. = Interest for the first year + Interest for the second year + Interest for third year = Rs. (400 + 420 + 441) = Rs.1261