Simple interest on a certain sum at a certain annual rate of interest is 16% of the sum. If the numbers representing rate percent and time in years be equal, then the rate of interest is
Simple interest on a certain sum at a certain annual rate of interest is 16% of the sum. If the numbers representing rate percent and time in years be equal, then the rate of interest is
A$\text{4%}$
B$\text{6%}$
C$\text{4.5%}$
D$\text{6.5%}$
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Correct answer is: \(\text{4%}\)
Explanation:
Simple interest on a certain sum at a certain annual rate of interest is 16% of the sum. If the numbers representing rate percent and time in years be equal, then the rate of interest is:
\(\text{Given: Simple interest } (SI) = 16\% \text{ of the sum} \)
\(SI = \frac{P \times R \times T}{100} \)
\(\frac{16P}{100} = \frac{P \times R \times R}{100} \)
\(16 = R^2\)
\(R = \sqrt{16}\)
\(R = 4\)
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