Question

A sum of rupees 16000 amounts to rupees 18000 in 4 years .find the rate of interest.​

Answer 1

Answer:

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

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Amount = Rs. 18000

Time = 4 years

Principle = Rs. 16000

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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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$\sf{\red{\boxed{\bold{Interest = Amount - Principle }}}}$

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$\sf :\implies\: {\bold{Interest = Rs. 18000 - Rs. 16000}}$

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$\sf :\implies\: {\bold{ Interest = Rs. 2000}}$

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$\sf{\red{\boxed{\bold{Interest = \dfrac{principle\times rate\times time}{100}}}}}$

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$\sf :\implies\: {\bold{ 2000 = \dfrac{16000\times rate\times 4 }{100}}}$

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$\sf :\implies\: {\bold{ 2000 = \dfrac{1600\times rate\times 4 }{10}}}$

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$\sf :\implies\: {\bold{ 2000 = 160\times rate\times 4 }}$

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$\sf :\implies\: {\bold{ r = \dfrac{2000}{160\times 4}}}$

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$\sf :\implies\: {\bold{ r = \dfrac{1000}{160\times 2}}}$

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$\sf :\implies\: {\bold{ r = \dfrac{500}{160}}}$

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$\sf :\implies\: {\bold{ r = \dfrac{50}{16}}}$

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$\sf :\implies\: {\bold{ r = \dfrac{25}{8}}}$

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$\sf :\implies\: {\bold{ r = 3 \dfrac{1}{8}}}$

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

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Rs. 16000 will amount to Rs. 18000 in 4 years at 25/8% per annum