Question

4. The compound interest on Rs. 5,000 for 3 years at 10%
p.a. will amount to :
A. Rs. 1654
B. Rs.1655
C. rs. 1600
D.rs. 1565​

Answer 1

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

• Principle = Rs. 5000
• Time = 3 years
• Rate = 10%

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

• Compound interest = ??

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

$\sf{\red{\boxed{\bold{Amount = principle \bigg( 1 +\dfrac{r}{10}\bigg)^t}}}}$

⠀⠀⠀⠀

$\sf : \implies\:{\bold{ Amount = 5000\bigg( 1 + \dfrac{10}{100}\bigg)^3}}$

⠀⠀⠀⠀

$\sf : \implies\:{\bold{ Amount = 5000\bigg( 1 + \dfrac{1}{10}\bigg)^3}}$

⠀⠀⠀⠀

$\sf : \implies\:{\bold{ Amount = 5000\bigg( \dfrac{10 + 1}{10}\bigg)^3}}$

⠀⠀⠀⠀

$\sf : \implies\:{\bold{ Amount = 5000\times \dfrac{11\times 11\times 11}{10\times 10\times 10}}}$

⠀⠀⠀⠀

$\sf : \implies\:{\bold{ Amount = 500\times \dfrac{11\times 11\times 11}{10\times 10}}}$

⠀⠀⠀⠀

$\sf : \implies\:{\bold{ Amount = 50\times \dfrac{11\times 11\times 11}{10}}}$

⠀⠀⠀⠀

$\sf : \implies\:{\bold{ Amount = 5 \times 11 \times 11 \times 11}}$

⠀⠀⠀⠀

⠀$\sf : \implies\:{\bold{ Amount = 5 \times 11 \times 121}}$

⠀⠀

$\sf : \implies\:{\bold{ Amount = 5 \times 1331}}$

⠀⠀⠀⠀

$\sf : \implies\:{\bold{ Amount = Rs. 6655}}$

⠀⠀⠀⠀

$\sf{\red{\boxed{\bold{CI = Amount - principle}}}}$

⠀⠀⠀⠀

$\sf : \implies\:{\bold{ CI = 6655 - 5000}}$

⠀⠀⠀⠀

$\sf : \implies\:{\bold{ CI = Rs. 1655 }}$

⠀⠀⠀⠀

⠀⠀⠀⠀

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

• CI = Rs. 1655 = option B

Answer 2

Step-by-step explanation:

kindly refer to attachment