Question

Ishani deposited rupees 12000 in a bank for two years it is compounded annually at 9% what amount will she receive on maturi at the end of r
2 years

Answer 1

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

• Principle = Rs. 12000
• Rate = 9%
• Time = 2 years

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

• Amount = ??

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

$\sf{\red{\boxed{\bold{Amount = P \bigg( 1 + \dfrac{r}{100} \bigg) ^2}}}}$

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$\sf: \implies{\bold{ Amount = 12000 \bigg( 1 + \dfrac{9}{100} \bigg ) ^2 }}$

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$\sf: \implies{\bold{ Amount = 12000 \bigg( \dfrac{100+9}{100} \bigg ) ^2 }}$

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$\sf: \implies{\bold{ Amount = 12000 \bigg( \dfrac{109}{100} \bigg ) ^2 }}$

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$\sf: \implies{\bold{ Amount = 12000 \times \dfrac{ 109\times 109}{100\times 100} }}$

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$\sf: \implies{\bold{ Amount = 1200 \times \dfrac{ 109\times 109}{100\times 10} }}$

⠀⠀⠀⠀

$\sf: \implies{\bold{ Amount = 120 \times \dfrac{ 109\times 109}{100} }}$

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$\sf: \implies{\bold{ Amount = 12 \times \dfrac{ 109\times 109}{10}}}$

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$\sf: \implies{\bold{ Amount = 12 \times \dfrac{ 11881}{10} }}$

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$\sf: \implies{\bold{ Amount = \dfrac{ 142572}{10} }}$

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$\sf: \implies{\bold{ Amount = Rs. 14257.2}}$

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

• Rs. 12000 will amount to Rs. 14257.2 in 2 years at 9% per annum