Mathematics
₹ 16,000 is invested at 5% compound interest compounded per annum. Use the table, given below, to find the amount in 4 years.
| Year | Initial amount (₹) | Interest (₹) | Final amount (₹) |
|---|---|---|---|
| 1st | 16000 | 800 | 16800 |
| 2nd | ---- | ---- | ------ |
| 3rd | ---- | ---- | ----- |
| 4th | ---- | ---- | ---- |
| 5th | ---- | ---- | ---- |
Compound Interest
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Answer
For 2nd year :
P = ₹ 16800
R = 5%
T = 1 year
I = = ₹ 840.
A = P + I = ₹ 16800 + ₹ 840 = ₹ 17640.
For 3rd year :
P = ₹ 17640
R = 5%
T = 1 year
I = = ₹ 882.
A = P + I = ₹ 17640 + ₹ 882 = ₹ 18522.
For 4th year :
P = ₹ 18522
R = 5%
T = 1 year
I = = ₹ 926.10.
A = P + I = ₹ 18522 + ₹ 926.10 = ₹ 19448.10
For 5th year :
P = ₹ 19488.10
R = 5%
T = 1 year
I = = ₹ 972.405.
A = P + I = ₹ 19448.10 + ₹ 972.405 = ₹ 20420.505
| Year | Initial amount (₹) | Interest (₹) | Final amount (₹) |
|---|---|---|---|
| 1st | 16000 | 800 | 16800 |
| 2nd | 16800 | 840 | 17640 |
| 3rd | 17640 | 882 | 18522 |
| 4th | 18522 | 926.10 | 19448.10 |
| 5th | 19448.10 | 972.405 | 20420.505 |
Hence, amount in 4 years = ₹ 19448.10
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