-
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
-
- ₹ 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 |