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I have some problems understanding a question in a math class test for 10 year olds.

The question is:

Someone pays in 200€ to a bank. The interest rate is 3.75%. Some time later, he looks at the account balance and he sees that there are 235€ now. How much time passed?

I would calculate this using logarithms, but the interesting part here is that they don't even know square roots, not to mention logarithms.

Is there any easy way to calculate this without logarithms that I overlooked?

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    Do they have to come out cleanly? Maybe if you round them off, it's okay. Besides, what numbers in reality do come cleanly out? I bet you the teacher asked his pupils to compute if his raise on his paycheck is correct. ;p2010-12-07

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It depends on whether the interest is simple or compound. If the interest is simple, you look at the fact the the 35C gain is a gain of 17.5%. Then, 17.5% divided by 3.75% is 4 and two third years (assuming the interest is 3.75% per year). If the interest is compound, I see no other way then using logarithms producing an answer of about 4.38 years. If this is meant to be an easy problem, they are probably assuming simple interest since 4 and two third years is not a very complicated answer.

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    I had a good laugh, @Ras. Thanks for making my day. :)2010-12-07