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If the compound interest on a certain sum for two years at 12% per annum is ₹ 2,544, the simple interest on it at the same rate for 2 years will be
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- ₹ 2,400
- ₹ 2,500
- ₹ 2,480
- ₹ 2,440
Correct Option: A
Given that , Compound Interest ( CI ) = ₹ 2,544 , Rate ( R ) = 12% , Time = 2 years
Using the given formula ,
| C.I. = P | ![]() | ![]() | 1 + | ![]() | T | − 1 | ![]() | |
| 100 |
| ⇒ 2544 = P | ![]() | ![]() | 1 + | ![]() | 2 | − 1 | ![]() | |
| 100 |
| ⇒ 2544 = P | ![]() | ![]() | ![]() | 2 | − 1 | ![]() | |
| 25 |
| ⇒ 2544 = P | ![]() | − 1 | ![]() | |
| 625 |
| ⇒ 2544 = P | ![]() | ![]() | |
| 625 |
| 2544 = | |
| 625 |
| ⇒ P = | = ₹ 10000 | |
| 159 |
| ∴ S.I. = | |
| 100 |
| S.I. = | = ₹ 2400 | |
| 100 |
Second Method to solve this question :
Here, C.I. = Rs. 2544 , R = 12% , S.I. = ?
| C.I.= S.I. | ![]() | 1 + | ![]() | |
| 200 |
| 2544 = S.I. | ![]() | 1 + | ![]() | |
| 200 |
| 2544 = S.I. | ![]() | ![]() | |
| 200 |
| S.I. = | = ₹ 2400 | |
| 212 |




