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The simple interest as a sum of money is 45\frac{4}{5} of the principal. Find the rate of interest if both the rate of interest and time are numerically equal.

Solution

Correct Option: 4

SI=4P5=P×R×T100SI = \frac{4P}{5} = \frac{P \times R \times T}{100} with R=TR = T. So 45=R2100\frac{4}{5} = \frac{R^2}{100}, giving R2=80R^2 = 80 and R=80=45R = \sqrt{80} = 4\sqrt{5}%.

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