Question

what price should a shopkeeper mark on his article which costs him ₹2000 so as to gain 5% after allowing a discount of 20%​

Answer 1

Answer:

• Cost Price (CP) = Rs. 2000
• Gain% = 5%
• Discount% = 20%

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

$:\implies\sf SP=CP \times \dfrac{(100+Profit)}{100}\qquad...eq\:(l)\\\\\\:\implies\sf SP=MP \times \dfrac{(100 - Discount)}{100}\qquad...eq\:(ll)$

$\rule{100}{0.8}$

☯ As LHS are equal, Hence RHS will be Equal of both Equation :

$\dashrightarrow\sf\:\:CP \times \dfrac{(100+Profit)}{100}=MP \times \dfrac{(100 - Discount)}{100}\\\\\\\dashrightarrow\sf\:\:2000 \times \dfrac{(100 + 5)}{100} = MP \times \dfrac{(100 - 20)}{100}\\\\\\\dashrightarrow\sf\:\:2000 \times 105 = MP \times 80\\\\\\\dashrightarrow\sf\:\: \dfrac{2000 \times 105}{80} = MP\\\\\\\dashrightarrow\sf\:\:25 \times 105 = MP\\\\\\\dashrightarrow\:\:\underline{\boxed{\sf MP = Rs.\:2625}}$

⠀

$\therefore\:\underline{\textsf{Shopkeeper should mark article for \textbf{Rs. 2,625}}}.$

$\rule{170}{1.8}$

$\boxed{\begin{minipage}{6.5 cm}\underline{\text{Some Important Formulae Related to it :}}\\ \\ SP=CP\times(100+\sf Profit)\%\\ \\SP=CP\times(100-Loss)\%\\ \\Profit\%=\dfrac{Profit}{CP}\times100 \\ \\Loss\%=\dfrac{Loss}{CP}\times100\end{minipage}}$