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At what rate percent per annum will a sum of ₹ 1,000 amounts to ₹ 1,102.50 in 2 years at compound interest ?
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- 5%
- 5.5%
- 6%
- 6.5%
Correct Option: A
Here , P = ₹ 1,100 , A = ₹ 1,102.50 , T = 2 years
Let rate be 'r '
Using the given formula ,
| A = P | ![]() | 1 + | ![]() | T | |
| 100 |
| ⇒ | = | ![]() | 1 + | ![]() | 2 | ||
| 1000 | 100 |
| ⇒ | = | ![]() | 1 + | ![]() | 2 | ||
| 10000 | 100 |
| ⇒ | ![]() | ![]() | 2 | = | ![]() | 1 + | ![]() | 2 | ||
| 100 | 100 |
| ⇒ 1 + | = | ||
| 100 | 100 |
| ⇒ | = | ||
| 100 | 100 |
⇒ r = 5%

