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Thursday, March 21, 2024

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$\text{6.5%}$

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:

\(\text{Given: Simple interest } (SI) = 16\% \text{ of the sum} \)

\(SI = \frac{P \times R \times T}{100} \)

\(\frac{16P}{100} = \frac{P \times R \times R}{100} \)

\(16 = R^2\)

\(R = \sqrt{16}\)

\(R = 4\)

upendra
answered undefined

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