Question

at what rate on compound interest per annum compounded half yearly 6500 become 7865 in 1 year​

Answer 1

Answer:

10%

Step-by-step explanation:

Answer 2

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

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

• Principle = Rs. 6500
• Time = 1 year
• Amount = Rs. 7865

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

• Rate = ??

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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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$\sf: \implies {\bold{7865 = 6500( 1 + \dfrac{r}{100})^1}}$

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$\sf: \implies {\bold{7865 = 6500( \dfrac{100 + r}{100})}}$

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$\sf: \implies {\bold{7865 = 6500\times \dfrac{100 + r}{100}}}$

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$\sf: \implies {\bold{7865 = 65\times 100 + r}}$

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$\sf : \implies{\bold{{100 + r = \dfrac{7865}{65}}}}$

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$\sf : \implies{\bold{{100 + r = \dfrac{1573}{13}}}}$

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$\sf : \implies{\bold{{100 + r = 121}}}$

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$\sf : \implies{\bold{{r = 121 - 100}}}$

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$\sf : \implies{\bold{{r = 21\%}}}$

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$\sf{\orange{\boxed{\bold{rate = 21\%}}}}$

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

• Rs. 6500 will amount to Rs.7865 in 1 year at the rate of 21% per annum