Question

At what time will 3000 fetch an interest of 300 at the rate of 4%

Answer 1

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

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• Principle = Rs. 3000
• Interest = Rs. 300
• Rate = 4%

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

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• Time = ??

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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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$\sf :\implies\:{\bold{ 300 = \dfrac{ 3000\times time \times 4}{100} }}$

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$\sf :\implies\:{\bold{ 300 = \dfrac{ 300\times Time \times 4}{10} }}$

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$\sf :\implies\:{\bold{ 300 = \dfrac{ 30\times Time \times 4}{1} }}$

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$\sf :\implies\:{\bold{ 300 = { 30\times Time \times 4} }}$

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$\sf :\implies\:{\bold{ Time = \dfrac{ 300 }{30\times 4} }}$

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$\sf :\implies\:{\bold{ Time = \dfrac{ 30 }{3\times 4 } }}$

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$\sf :\implies\:{\bold{ Time = \dfrac{ 10 }{4} }}$

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$\sf :\implies\:{\bold{ Time = 2.5 years }}$

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

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• Rs. 3000 will amount Rs. 300 as Simple Interest at the rate of 1.75% in 2.5 years

Answer 2

Answer:

${\huge {\bf {\red {\underline {given}}}}}$

${ \sf { \bold {principal(p) = 3000}}}$

${ \sf {\bold {intrest(si) = 300}}}$

${\sf { \bold {rate \: (r) = 4\%}}}$

${\huge {\bf {\red {\underline {to \: find}}}}}$

${ \sf {\bold {time}}}$

${\huge {\bf {\red {\underline {solution}}}}}$

${\huge {\boxed {\sf {si = \dfrac{p \times r \times t}{100} }}}}$

$\sf \implies \: 300 = \dfrac{3000 \times 4 \times t}{100}$

$\sf \implies \: 300 = \dfrac{30 \times 4 \times t}{1}$

$\sf \implies \: 300 = 30 \times 4 \times t$

$\sf \implies \: t \: = \dfrac{300 \times 4}{30}$

$\sf \implies \: t = \dfrac{10 }{4}$

$\huge \fbox{ t \: = 2.5 \: years}$