Question

What sum will become * 9,261 at 5% p.a. compound interest after 3 years?​

Answer 1

Step-by-step explanation:

I am using short trick sorry for it

5+5+5+ (5×5×5)/100 % of 9261

15+125/100

15+1.25 % of 9261

= 16.25 % of 9261

1504.91 Rs is the compound interest :)

Answer 2

$\sf{\underline{\boxed{\large{\blue{\mathsf{Solution}}}}}}$

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

• Principle = Rs. 9261
• rate = 5%
• time = 3years

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

• amount = ??

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

$\sf{\red{\boxed{\bold{amount = p( 1 + \dfrac{r}{100})^t}}}}$

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:$\sf\implies\: {\bold{ Amount = 9261( 1 + \dfrac{5}{100})^3}}$

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:$\sf\implies\: {\bold{ Amount = 9261( \dfrac{100 + 5}{100})^3}}$

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:$\sf\implies\: {\bold{ Amount = 9261( \dfrac{105}{100})^3}}$

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:$\sf\implies\: {\bold{ Amount = 9261\times \dfrac{105}{100}\times\dfrac{105}{100}\times\dfrac{105}{100}}}$

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:$\sf\implies\: {\bold{ Amount = 9261\times\dfrac{1157625}{1000000}}}$

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:$\sf\implies\: {\bold{ Amount = \dfrac{10720765125}{1000000}}}$

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:$\sf\implies\: {\bold{ Amount = Rs. 10720. 765125}}$

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:$\sf\implies\: {\bold{ Amount = Rs.10720.76512}}$

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:$\sf\implies\: {\bold{ Amount = Rs.10720.7651}}$

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:$\sf\implies\: {\bold{ Amount = Rs.10720.765}}$

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:$\sf\implies\: {\bold{ Amount = Rs.10720.77}}$

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$\sf{\pink{\boxed{\bold{amount = Rs. 10720.77}}}}$

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

• Rs. 9261 will amount to Rs. 10720.77 in 3 years at 5% p.a.