Question

Please solve the QUESTION​

Answer 1

$\sf{\underline{\huge{\bold{\green{Case \: 1 }}}}}$

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

• Principle = Rs. 4000
• Rate = 8%
• time = 2 years

_______________________

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

• Amount = ??

______________________

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

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

⠀⠀⠀⠀

: $\sf\implies\: {\bold{Amount = 8000( 1 + \dfrac{9}{100})^2}}$

⠀⠀⠀⠀

: $\sf\implies\: {\bold{Amount = 8000(\dfrac{100 + 9}{100})^2}}$

⠀⠀⠀⠀

: $\sf\implies\: {\bold{Amount = 8000( \dfrac{108}{100})^2}}$

⠀⠀⠀⠀

: $\sf\implies\: {\bold{Amount = 8000(\dfrac{108}{100}\times \dfrac{108}{100})}}$

⠀⠀⠀⠀

: $\sf\implies\: {\bold{Amount = 80(\dfrac{108 \times 108}{100})}}$

⠀⠀⠀⠀

: $\sf\implies\: {\bold{Amount = 8( \dfrac{108 \times 108}{10})}}$

⠀⠀⠀⠀

: $\sf\implies\: {\bold{Amount = 8(\dfrac{11664}{10})}}$

⠀⠀⠀⠀

: $\sf\implies\: {\bold{Amount = \dfrac{93312}{10})}}$

⠀⠀⠀⠀

: $\sf\implies\: {\bold{Amount = Rs. 9331.2}}$

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

• Rakesh will have to pay Rs. 9331.2 at the end of 2 years

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$\sf{\underline{\huge{\bold{\green{Case \: 2 }}}}}$

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

• Principle = Rs. 4000
• Rate = 9%
• time = 2 years

_______________________

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

• Amount = ??

______________________

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

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

⠀⠀⠀⠀

: $\sf\implies\: {\bold{Amount = 8000( 1 + \dfrac{9}{100})^2}}$

⠀⠀⠀⠀

: $\sf\implies\: {\bold{Amount = 8000(\dfrac{100 + 9}{100})^2}}$

⠀⠀⠀⠀

: $\sf\implies\: {\bold{Amount = 8000( \dfrac{109}{100})^2}}$

⠀⠀⠀⠀

: $\sf\implies\: {\bold{Amount = 8000(\dfrac{109}{100}\times \dfrac{109}{100})}}$

⠀⠀⠀⠀

: $\sf\implies\: {\bold{Amount = 80(\dfrac{109 \times 109}{100})}}$

⠀⠀⠀⠀

: $\sf\implies\: {\bold{Amount = 8( \dfrac{109 \times 109}{10})}}$

⠀⠀⠀⠀

: $\sf\implies\: {\bold{Amount = 8(\dfrac{11881}{10})}}$

⠀⠀⠀⠀

: $\sf\implies\: {\bold{Amount = \dfrac{95048}{10})}}$

⠀⠀⠀⠀

: $\sf\implies\: {\bold{Amount = Rs. 9504.8}}$

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

• Rakesh will receive Rs. 9504.8 at the end of 2 years

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$\sf{\underline{\huge{\bold{\green{Gain}}}}}$

$\sf{\red{\boxed{\bold{gain = SP - CP}}}}$

⠀⠀⠀⠀

Gain = Rs. ( 9504.8 - 9331.2 )

⠀⠀⠀⠀

Gain = Rs. 173. 6

⠀⠀⠀⠀

• At the end of 2 years Rakesh will have the profit of Rs. 173.6 on the given money