Question

At what rate will rs 4000 give an interust of rs 210 in 3 years

Answer 1

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

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• Principle = Rs. 4000
• Interest = Rs. 210
• 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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$\sf{\red{\boxed{\bold{Interest = \dfrac{ P\times R\times T}{100}}}}}$

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$\sf :\implies\:{\bold{ 210 = \dfrac{ 4000\times Rate \times 3}{100} }}$

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$\sf :\implies\:{\bold{ 210 = \dfrac{ 400\times Rate \times 3}{10} }}$

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$\sf :\implies\:{\bold{ 210 = \dfrac{ 40\times Rate \times 3}{1} }}$

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$\sf :\implies\:{\bold{ 210 = { 40\times Rate \times 3} }}$

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$\sf :\implies\:{\bold{ Rate = \dfrac{ 210 }{40\times 3} }}$

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$\sf :\implies\:{\bold{ Rate = \dfrac{ 70 }{40} }}$

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$\sf :\implies\:{\bold{ Rate = \dfrac{ 7 }{4} }}$

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$\sf :\implies\:{\bold{ Rate = 1.75 \% }}$

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

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• Rs. 4000 will amount Rs. 210 as Simple Interest in 3 years at the rate of 1.75%