Question

. A man sold an article for rupees 495 and gained 10% on it. Find the cost price of the article

Answer 1

Answer

SP=495 rupees

Gain percent=10%

Cp=100+10=110

CP=110×495÷100

so CP=544.5 rupees

Answer 2

Answer:

The cost price of the article is Rs. 450.

Step-by-step-explanation:

We have given that,

Selling price of article = Rs. 495

Profit % = 10

We have to find the cost price of the article.

Let the cost price of the article be Rs. x.

Now, we know that,

$\displaystyle{\pink{\sf\:Profit\:\%\:=\:\dfrac{Profit}{Cost\:price}\:\times\:100}\sf\:\quad\:-\:-\:-\:[\:Formula\:]}$

$\displaystyle{\implies\sf\:10\:=\:\dfrac{Selling\:price\:-\:Cost\:price}{Cost\:price}\:\times\:100\:\quad\:-\:-\:-\:[\:\because\:Profit\:=\:Selling\:price\:-\:Cost\:price\:]}$

$\displaystyle{\implies\sf\:10\:=\:\dfrac{495\:-\:x}{x}\:\times\:100}$

$\displaystyle{\implies\sf\:10\:=\:\dfrac{(\:495\:-\:x\:)\:\times\:100}{x}}$

$\displaystyle{\implies\sf\:10\:\times\:x\:=\:(\:495\:-\:x\:)\:\times\:100}$

$\displaystyle{\implies\sf\:10x\:=\:49500\:-\:100x}$

$\displaystyle{\implies\sf\:10x\:+\:100x\:=\:49500}$

$\displaystyle{\implies\sf\:110x\:=\:49500}$

$\displaystyle{\implies\sf\:x\:=\:\dfrac{4950\cancel{0}}{11\cancel{0}}}$

$\displaystyle{\implies\sf\:x\:=\:\cancel{\dfrac{4950}{11}}}$

$\displaystyle{\implies\underline{\boxed{\red{\sf\:x\:=\:Rs\:450}}}}$

∴ The cost price of the article is Rs. 450.