Question

By selling a chair for ₹522, a shopkeeper makes a profit of 16%.

What is its cost price?​

Answer 1

Step-by-step explanation:

S.P. of a chair =Rs.522

Profit=16%

∴C.P.=100+Profit%S.P.×100=100+16522×100

=Rs.116522×100=Rs.450

Hope this helps.Plz mark the brainliest :P

Answer 2

Answer:

The cost price of the chair is ₹ 450.

Step-by-step-explanation:

We have given that,

Selling price of chair = ₹ 522

Profit % = 16

We have to find the cost price of the chair.

Let the cost price of the chair be ₹ x.

Now, we know that,

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

$\displaystyle{\implies\sf\:16\:=\:\dfrac{Selling\:price\:-\:Cost\:price}{Cost\:price}\:\times\:100\:\quad\:\:\:-\:-\:-\:[\:\because\:Profit\:=\:Selling\:price\:-\:Cost\:price\:]}$

$\displaystyle{\implies\sf\:16\:=\:\dfrac{522\:-\:x}{x}\:\times\:100}$

$\displaystyle{\implies\sf\:16\:=\:\dfrac{(\:522\:-\:x\:)\:\times\:100}{x}}$

$\displaystyle{\implies\sf\:16\:\times\:x\:=\:(\:522\:-\:x\:)\:\times\:100}$

$\displaystyle{\implies\sf\:16x\:=\:52200\:-\:100x}$

$\displaystyle{\implies\sf\:16x\:+\:100x\:=\:52200}$

$\displaystyle{\implies\sf\:116x\:=\:52200}$

$\displaystyle{\implies\sf\:x\:=\:\cancel{\dfrac{52200}{116}}}$

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

∴ The cost price of the chair is ₹ 450.