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The compound interest on a certain sum of money invested for 2 years at 5% per annum is ₹ 328. The simple interest on the sum, at the same rate and for the same period will be
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- ₹ 320
- ₹ 308
- ₹ 300
- ₹ 287
Correct Option: A
Given that , Compound Interest ( CI ) = ₹ 328 , Rate ( R ) = 5% , Time = 2 years
Let the principal be P.
∴ C.I. = P | ![]() | ![]() | 1 + | ![]() | T | − 1 | ![]() | |
100 |
⇒ 328 = P | ![]() | ![]() | 1 + | ![]() | 2 | − 1 | ![]() | |
100 |
⇒ 328 = P | ![]() | − 1 | ![]() | |
400 |
⇒ 328 = P | ![]() | ![]() | |
400 |
⇒ P = | = ₹ 3200 | |
41 |
∴ S.I. = | = | = ₹ 320 | ||
100 | 100 |
Second Method to solve this question :
Here, C.I. = ₹ 328 , R = 5% , S.I. = ?
C.I.= S.I. | ![]() | 1 + | ![]() | |
200 |
328 = S.I. | ![]() | 1 + | ![]() | |
200 |
328 = S.I. | ![]() | 1 + | ![]() | |
40 |
S.I. = | |
41 |
S.I. = 8 x 40 = ₹ 320