Question

Ruchi sells a dinning set to yashi for 7500 and gain 20 For how much should she sell it to increase her profit by another 10 persent

Answer 1

AnswEr :

$\textbf{1st Situation}\begin{cases}\sf{SP = Rs. \:7500}\\\sf{Gain\% = 20\%}\\ \sf{CP=?}\end{cases}$

$\underline{\bigstar\:\textsf{Calculation of Cost Price :}}$

$:\implies\tt SP = CP \times (100 + Gain)\%\\\\\\:\implies\tt 7500 = CP \times (100 + 20)\%\\\\\\:\implies\tt 7500 = CP \times 120\%\\\\\\:\implies\tt 7500 = CP \times \dfrac{120}{100}\\\\\\:\implies\tt \dfrac{7500 \times 100}{120} = CP\\\\\\:\implies\tt CP = Rs. \: 6250$

$\rule{170}{1}$

$\textbf{2nd Situation}\begin{cases}\sf{CP = Rs. \:6250}\\\sf{Gain\% =(20+10)=30\%}\\ \sf{SP=?}\end{cases}$

$\underline{\bigstar\:\textsf{Calculation of New Selling Price :}}$

$:\implies\tt SP = CP \times (100 + Gain)\%\\\\\\:\implies\tt SP = 6250 \times (100 + 30)\%\\\\\\:\implies\tt SP = 6250 \times 130\%\\\\\\:\implies\tt SP = 6250 \times \dfrac{130}{100}\\\\\\:\implies\tt SP=625\times13\\\\\\:\implies\tt SP = Rs. \: 8125$

⠀

$\therefore\:\underline{\textsf{Ruchi should sell dining set at \textbf{Rs. 8125}}}$

$\rule{200}{2}$

$\boxed{\begin{minipage}{7 cm}\underline{\text{Some Important Formulae Related to it :}}\\ \\ SP=CP\times(100+\sf Profit)\%\\ \\SP=CP\times(100-Loss)\%\\ \\Profit\%=\dfrac{Profit}{CP}\times100 \\ \\Loss\%=\dfrac{Loss}{CP}\times100\end{minipage}}$

Answer 2

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$\huge\red\bigstar$QUESTION:-

• Ruchi sells a dinning set to yashi for 7500 and gain 20 For how much should she sell it to increase her profit by another 10 persent.

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$\huge\green\bigstar$FORMULA USED:-

•sp=cp(100+gain)%

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$\huge\red{CON.1)}$

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•SP = Rs.7500

•GAIN % =20%

•CP=?

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•ACCORDING TO FORMULA,

:$\implies$ sp=cp(100+gain)%

:$\implies$ 7500=cp × (100+20)%

:$\implies$ 7500= Cp × (120)%

$:\implies \: 7500 \: = cp \: \times \frac{120}{100} \\ :\implies \: cp \: = \frac{7500\: \times 10\cancel{0}}{12\cancel{0}} \\ :\implies \: cp \: = \: \frac{\cancel{75000}}{\cancel{12}} \\ :\implies \: \large cp =Rs. 6250$

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$\huge\red{CON.2)}$

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•cp= rs. 6250

•gain% =(20+10)% = 30%

•sp=?

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•ACCORDING TO FORMULA,

:$\implies$ sp=cp(100+gain)%

:$\implies$ sp= 6250(100+30)%

:$\implies$ sp=6250×130%

$:\implies \: sp = 625\cancel{0} \: \times \frac{13\cancel{0}}{1\cancel{00}} \\ :\implies sp = 625 \: \times \: 13 \\ :\implies \large\: sp \: = Rs .8125$

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$\huge\purple\bigstar$ HENCE

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• $\red{COST \: \: PRICE \: IS \: \:Rs. 6250}$

•$\green{SELLING \: PRICE \: IS \: Rs.8125}$

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