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A certain sum of money triples itself in 5 years at simple interest. In how many years it will be five times?Question 10Answera.10b.8c.15d.5

Question

A certain sum of money triples itself in 5 years at simple interest. In how many years it will be five times?Question 10Answera.10b.8c.15d.5

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Solution

The problem states that a certain sum of money triples itself in 5 years at simple interest. This means that the interest earned in 5 years is twice the original sum.

Simple interest is calculated using the formula: I = PRT/100, where I is the interest, P is the principal amount (the original sum), R is the rate of interest, and T is the time.

From the problem, we know that 2P (the interest earned) = P * R * 5 / 100. Simplifying this, we get R = 40%.

Now, we want to find out when the sum will be five times the original amount. This means the interest earned is four times the original sum.

Using the simple interest formula again, we have 4P = P * 40 * T / 100. Simplifying this, we get T = 10 years.

So, the sum of money will be five times the original amount in 10 years. Therefore, the answer is (a) 10.

This problem has been solved

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