Question

an arcticle is sold for 400 in which the seller fetches 25% profit if 6 such articles are sold for rupees 2400 then the percent profit/loss incurred by the seller.​

Answer 1

AnswEr :

$\bf{Given}\begin{cases}\textsf{SP of 1 Article = Rs. 400}\\\sf{Profit\% = 25\%}\\ \textsf{CP of 1 Article = ?}\end{cases}$

$\bigstar\:\underline{\textsf{According to the Question Now :}}$

$\longrightarrow\sf SP = CP \times (100 + Profit)\% \\\\\\\longrightarrow\sf 400 = CP \times (100 + 25)\%\\\\\\\longrightarrow\sf 400 = CP \times 125\%\\\\\\\longrightarrow\sf 400 = CP \times \dfrac{125}{100}\\\\\\\longrightarrow\sf \cancel\dfrac{400 \times 100}{125} = CP\\\\\\\longrightarrow\sf CP \:of \:1\:Article = Rs.\:320$

$\rule{200}{1}$

$\bullet\:\textsf{CP of 6 Articles = 6(Rs. 320) = Rs. 1920}\\\bullet\:\textsf{SP of 6 Articles = 6(Rs. 400) = Rs. 2400}\\\bullet\:\textsf{Profit Incurred by Seller = ?}$

$\bigstar\:\underline{\textsf{Profit Percentage will be :}}$

$:\implies\sf Profit\%=\dfrac{Profit}{CP} \times 100\\\\\\:\implies\sf Profit\%=\dfrac{(SP-CP)}{CP} \times 100\\\\\\:\implies\sf Profit\%=\dfrac{Rs. \:(2400-1920)}{Rs. \:1920} \times 100\\\\\\:\implies\sf Profit\%=\dfrac{Rs.\:480}{Rs. \:1920} \times 100\\\\\\:\implies\sf Profit\%= \cancel\dfrac{Rs. \:48000}{Rs. \:1920}\\\\\\:\implies \boxed{\sf Profit\%= 25\%}$

⠀

∴ Profit percent incurred by seller is 25%.

$\rule{200}{2}$

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

Answer 2

Answer:

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