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Compound interest on a sum of money for 2 years at 4 percent per annum is ₹ 2, 448. Simple interest of the same sum of money at the same rate of interest for 2 years will be
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- ₹ 2,500
- ₹ 2,400
- ₹ 2,360
- ₹ 2,250
Correct Option: B
Given that , Compound Interest ( CI ) = ₹ 2, 448 , Rate ( R ) = 4% , Time = 2 years
Using the given formula ,
C.I.= P | ![]() | 1 + | ![]() | t | − P | |
100 |
2448 = P | ![]() | ![]() | 1 + | ![]() | t | − 1 | ![]() | |
100 |
⇒ 2448 = P | ![]() | ![]() | 1 + | ![]() | 2 | − 1 | ![]() | |
100 |
⇒ 2448 = P | ![]() | − 1 | ![]() | |
625 |
⇒ 2448 = P | ![]() | ![]() | |
625 |
⇒ 2448 = P | ![]() | ![]() | |
625 |
∴ P = | = ₹ 30,000 | |
51 |
∴ S.I. = | = ₹ 2400 | |
100 |
We can find required answer with the help of given formula :
Here, C.I. = ₹ 2448 , R = 4% , S.I. = ?
C.I. = S.I. | ![]() | 1 + | ![]() | |
200 |
2448 = S.I. | ![]() | 1 + | ![]() | |
200 |
2448 = S.I. | ![]() | 1 + | ![]() | |
50 |
2448 = S.I. | ![]() | ![]() | |
50 |
S.I. = | = ₹ 2400 | |
51 |