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Rekha invested a sum of ₹ 12000 at 5% per annum compound interest. She received an amount of ₹ 13230 after n years. Find n.
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- 2.8 years
- 3.0 years
- 2.5 years
- 2.0 years
Correct Option: D
Given that , Amount ( A ) = ₹ 13230 , P = ₹ 12000 , Rate ( R ) = 5% , Time = n years
Using the given formula ,
A = P | ![]() | 1 + | ![]() | T | |
100 |
⇒ 13230 = 12000 | ![]() | 1 + | ![]() | n | |
100 |
⇒ | = | ![]() | 1 + | ![]() | n | ||
12000 | 20 |
⇒ | = | ![]() | ![]() | n | ||
400 | 20 |
⇒ | ![]() | ![]() | n | = | ![]() | ![]() | 2 | ||
20 | 20 |
⇒ n = 2 years