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In what time will ₹ 1000 becomes ₹ 1331 at 10% per annum compounded annually ?
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- 3 years
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2 1 years 2 - 2 years
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3 1 years 2
Correct Option: A
Here , P = ₹ 1000, P1 = ₹ 1331 , r = 10%
Let the required time be n years. Then,
Using the given formula ,
![]() | ∴ P1 = P | ![]() | 1 + | ![]() | n | ![]() | |
100 |
1331 = 1000 | ![]() | 1 + | ![]() | n | |
100 |
⇒ | = | ![]() | ![]() | n | ||
1000 | 10 |
⇒ | ![]() | ![]() | n | = | ![]() | ![]() | 3 | ||
10 | 10 |
Equating on both sides , we get
⇒ n = 3