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A sum of money invested at simple interest triples itself in years. Find in how many years will it become times itself at the same rate?

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Important Questions on Interest
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A certain sum of money was lent under the following repayment scheme based on Simple interest:
per annum for initial years.
per annum for the next years.
per annum for the next years.
per annum after the first years.
Find the amount which a sum of taken for years becomes at the end of years.
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