-
A sum of Rs. 3000 amounts to Rs. 6000 in two years at compound interest. The interest for four years is :
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- Rs. 9000
- Rs. 12000
- Rs. 6000
- Rs. 3000
Correct Option: A
Given in question , Amount ( A ) = Rs. 6000 , P = Rs. 3000 , Rate = R% , Time = 2 years
Using the given formula ,
| A = P |  | 1 + |  | T | |
| 100 |
| ⇒ 6000 = 3000 | | 1 + | | 2 | |
| 100 |
| ⇒ 2 = | | 1 + | | 2 | |
| 100 |
On squaring both sides , we get
| 4 = | | 1 + | | 4 | |
| 100 |
Again , Amount ( A ) = ? , P = Rs. 3000 , Rate = R% , Time = 4 years
| ⇒ A = 3000 | | 1 + | | 4 | |
| 100 |
Amount = Rs. (4 × 3000) = Rs. 12000
∴ C.I. = Amount - Principal
∴ C.I. = Rs. (12000 – 3000) = Rs. 9000
