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Kushi invested a sum of money at compound interest. In 4 years it amounted to Rs. 5400 and in 5 years to Rs. 5670. The interest rate per annum is

Question

Kushi invested a sum of money at compound interest. In 4 years it amounted to Rs. 5400 and in 5 years to Rs. 5670. The interest rate per annum is

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Solution

To find the rate of interest, we first need to understand that the difference in the amounts after 4 years and 5 years is actually the interest of the 5th year.

So, the interest for the 5th year is Rs. 5670 - Rs. 5400 = Rs. 270.

Now, we know that the amount after 4 years is Rs. 5400. This is the principal for the 5th year.

The formula to calculate the interest is:

Interest = (Principal * Rate * Time) / 100

We can rearrange this formula to find the rate:

Rate = (Interest * 100) / (Principal * Time)

Substituting the values we have:

Rate = (270 * 100) / (5400 * 1) = 5%

So, the interest rate per annum is 5%.

This problem has been solved

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