Question

The marked price of a chair is ₹480 and it is available to a retailer at 25% discount. At what price show the retailer sell it to have a profit 15%?​

Answer 1

Answer:

The retailer should sell that chair at ₹ 414

Step-by-step explanation:

Given: The marked price of a chair = ₹ 480

Discount = 25%

Formula: CP = MP - discount% of MP

CP = ₹ (480 - 25% of 480)

CP = ₹ (480 - 120)

CP = ₹ 360

At what price should the retailer sell it to have a profit 15%:

Formula: SP = CP + profit% of CP

SP = ₹ (360 + 15% of 360)

SP = ₹ (360 + 54)

SP = ₹ 414

Answer 2

Answer:

• Marked Price (MP) = Rs. 480
• Discount = 25%
• Profit = 15%
• Selling Price = ?

• Cost Price of the Chair :

$:\Longrightarrow\sf CP=MP \times (100-Discount)\%\\\\\\:\Longrightarrow\sf CP = 480 \times (100 - 25)\%\\\\\\:\Longrightarrow\sf CP = 480 \times 75\%\\\\\\:\Longrightarrow\sf CP =480 \times \dfrac{75}{100}\\\\\\:\Longrightarrow\sf CP = 480 \times \dfrac{3}{4} \\\\\\:\Longrightarrow\sf CP =120 \times 3\\\\\\:\Longrightarrow\sf CP = Rs.\ 360$

$\rule{150}{1}$

• Selling Price of the Chair :

$:\Longrightarrow\sf SP=CP \times (100+Profit)\%\\\\\\:\Longrightarrow\sf SP = 360 \times(100 + 15)\%\\\\\\:\Longrightarrow\sf SP = 360 \times 115\%\\\\\\:\Longrightarrow\sf SP = 360 \times \dfrac{115}{100}\\\\\\:\Longrightarrow\sf SP = 360 \times \dfrac{23}{20}\\\\\\:\Longrightarrow\sf SP = 18 \times 23\\\\\\:\Longrightarrow\sf SP = Rs.\:414$

⠀

$\therefore\:\underline{\textsf{Retailer should sell it at price of \textbf{Rs. 414}}}.$

$\rule{200}{1.5}$

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