Question

If the simple interest on a certain sum of money for three years three times the sum then find the rate of interest per annum.​

Answer 1

$\sf{\bold{\green{\underline{\underline{Given}}}}}$

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• Simple Interest is three times the principle
• Time = 3 years

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$\sf{\bold{\green{\underline{\underline{To\:Find}}}}}$

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• Rate = ??

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$\sf{\bold{\green{\underline{\underline{Solution}}}}}$

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Given that Simple Interest is 3 times the principle

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If ; Principle = x

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Then ; SI = 3x

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$\sf{\red{\boxed{\bold{Interest = \dfrac{Principle \times Rate \times time}{100}}}}}$

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$\sf :\implies\: {\bold{3x = \dfrac{x\times R \times 3 }{100}}}$

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$\sf :\implies\: {\bold{ R = \dfrac{3x\times 100}{3x} }}$

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$\sf :\implies\: {\bold{R = \dfrac{3\times 100}{3}}}$

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$\sf :\implies\: {\bold{ R = \dfrac{3 \times 100}{3} }}$

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$\sf :\implies\: {\bold{ R = 100\%}}$

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$\sf{\bold{\green{\underline{\underline{Answer}}}}}$

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• Sum will amount 3 times of it in 3 years at 100% per annum

Answer 2

Step-by-step explanation:

\sf{\bold{\green{\underline{\underline{Given}}}}}

Given

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Simple Interest is three times the principle

Time = 3 years

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\sf{\bold{\green{\underline{\underline{To\:Find}}}}}

ToFind

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Rate = ??

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\sf{\bold{\green{\underline{\underline{Solution}}}}}

Solution

⠀⠀⠀⠀

Given that Simple Interest is 3 times the principle

⠀⠀⠀⠀

If ; Principle = x

⠀⠀⠀⠀

Then ; SI = 3x

⠀⠀⠀⠀

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\sf{\red{\boxed{\bold{Interest = \dfrac{Principle \times Rate \times time}{100}}}}}

Interest=

100

Principle×Rate×time

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\sf :\implies\: {\bold{3x = \dfrac{x\times R \times 3 }{100}}}:⟹3x=

100

x×R×3

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\sf :\implies\: {\bold{ R = \dfrac{3x\times 100}{3x} }}:⟹R=

3x

3x×100

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\sf :\implies\: {\bold{R = \dfrac{3\times 100}{3}}}:⟹R=

3

3×100

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\sf :\implies\: {\bold{ R = \dfrac{3 \times 100}{3} }}:⟹R=

3

3×100

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\sf :\implies\: {\bold{ R = 100\%}}:⟹R=100%

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\sf{\bold{\green{\underline{\underline{Answer}}}}}

Answer

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Sum will amount 3 times of it in 3 years at 100% per annum