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A sum of money placed at compound interest doubles itself in 5 years. In how many years will it amount to eight times itself at the same rate of interest?
- 10 years
- 15 years
- 7 years
- 20 years
Correct answer: 15 years
Solution
If the money doubles in 5 years, then one doubling takes 5 years. To become 8 times, it must double 3 times because \(8=2^3\). Therefore, the required time is \(3\times 5=15\) years.
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