Question

what sum of money lent out at 12 % p. a . simple interest would produce rupees 90000 as interest in 2 years
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Answer 1

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

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• Rate = 12%
• Time = 2years
• Simple Interest = Rs. 90000

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

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• Principle = ??

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

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

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$\sf :\implies\: {\bold{ 90000 = \dfrac{p\times 12\times 2}{100} }}$

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$\sf :\implies\: {\bold{ 90000 = \dfrac{p\times 12}{50} }}$

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$\sf :\implies\: {\bold{ 90000 = \dfrac{p\times 6}{25} }}$

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$\sf :\implies\: {\bold{ p = \dfrac{90000\times 25}{6} }}$

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$\sf :\implies\: {\bold{ p = \dfrac{30000\times 25}{2} }}$

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$\sf :\implies\: {\bold{p = 15000\times 25 }}$

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$\sf :\implies\: {\bold{p = 375000 }}$

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

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• Rs. 375000 will produce Rs. 90000 as simple interest in 2 years at 12% per annum

Answer 2

Step-by-step explanation:

Simple Interest (SI) = 90000

Rate (R) = 12%

Time (T) = 2 years

Principle = ?

Principle = (SI × 100)/(R × T)

= (90000 × 100)/(12 × 2)

= 9000000/24

= 375000

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