Question

Cost price of a flower vase is is rupees 120 if the shopkeeper sells it at a loss of 10% find the price at which it was sold

Answer 1

Question is based on Profit and loss where we are given with the Cost price of a flower vase and the loss %. We have to find the Selling price.

GiveN:

• Cost price of the vase = Rs. 120
• Loss % = 10%

To Find the Selling price of the flower vase.....?

Since the shopkeeper is suffering from a loss of 12%, the selling price will be less than the cost price by:

• Cost price - loss % * CP = Selling price$.$

Plugging the given values,

➝ Rs. 120 - 10% of Rs. 120 = Selling price

➝ Rs. 120 - 10/100 * Rs. 120 = Selling price

➝ Rs. 120 - Rs. 12 = Selling price

➝ Selling price = Rs. 108 (Answer)

Explore more:

Always remember the difference between loss % and the actual loss. Loss % is converted into actual loss and then subtracted from the Cost price to get the Selling price.

Answer 2

Answer:

• Cost Price ( CP ) = Rs. 120
• Loss% = 10%
• Selling Price ( SP ) = ?

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

$:\implies\sf Selling\:Price=Cost\:Price \times \bigg(100-Loss\bigg)\% \\\\\\:\implies\sf SP=CP \times \bigg(\dfrac{100-Loss}{100}\bigg)\\\\\\:\implies\sf SP=Rs.\:120 \times \bigg(\dfrac{100-10}{100}\bigg)\\\\\\:\implies\sf SP=Rs.\:120 \times \dfrac{90}{100}\\\\\\:\implies\sf SP = Rs.\:12 \times 9\\\\\\:\implies\underline{\boxed{\sf SP = Rs.\:108}}$

⠀

$\therefore\:\underline{\textsf{Flower vase is sold at price of \textbf{Rs. 108}}}.$

$\rule{180}{1.5}$

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