Q- If the simple interest on a certain sum at a certain annual rate of interest is 1-16 of the sum- If the rate of interest is same as the number of years invested- then the rate of interest is-

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Q. If the sim...

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Q. If the simple interest on a certain sum at a certain annual rate of interest is $\frac{1}{16}$ of the sum. If the rate of interest is same as the number of years invested, then the rate of interest is:

2.5%

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3.5%

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4.5%

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None of these

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Solution

The correct option is A 2.5%
For principal amount, SI = $\frac{x}{16}$ and rate = time = R
$\frac{x}{16} = x \times R \times R \times \frac{1}{100}$
$R^{2} = \frac{100}{16}$
$R = \frac{10}{4} = 2.5 %$

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Q. If the simple interest on a certain sum at a certain annual rate of interest is 116of the sum. If the rate of interest is same as the number of years invested, then the rate of interest is:

The correct option is A 2.5%For principal amount, SI = x16 and rate = time = R x16=x×R×R×1100 R2=10016 R=104=2.5%

Q. If the simple interest on a certain sum at a certain annual rate of interest is $\frac{1}{16}$ of the sum. If the rate of interest is same as the number of years invested, then the rate of interest is:

The correct option is A 2.5%
For principal amount, SI = $\frac{x}{16}$ and rate = time = R
$\frac{x}{16} = x \times R \times R \times \frac{1}{100}$
$R^{2} = \frac{100}{16}$
$R = \frac{10}{4} = 2.5 %$