-
On a certain sum of money the compound interest for 2 years is ₹ 282.15 and the simple interest for the same period of time is ₹ 270. The rate of interest per annum is
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- 6.07%
- 10%
- 9%
- 12.15%
Correct Option: C
Given that , C.I. = ₹ 282.15 , S.I. = ₹ 270 , Rate = r%
For two years ,
| C.I. = S.I. |  | 1 + |  | |
| 200 |
| ⇒ 282.15= 270 | | 1 + | | |
| 100 |
| ⇒ 1 + | = | ||
| 200 | 270 |
| ⇒ | = | − 1 | ||
| 200 | 270 |
| ⇒ | = | |||
| 200 | 270 |
| ⇒ | = | ||
| 200 | 270 |
| ⇒ r = | = 9% | |
| 270 |
