Question

 If Raju sell a painting at Rs. 1125, He makes 15 % profit. What is the cost price of

850

900

950

1000

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Answer 1

Explanation:

sell a painting at rs =1125

profit makes = 15%

what is cost price = ?

formula = CP = ( SP * 100)

= x = (1125 *100)

= x = (112500)

= 112500x

Answer 2

Answer:

The cost price of the painting is Rs. 978.26.

Step-by-step-explanation:

We have given that,

Selling price of painting ( S. P. ) = Rs. 1125

Profit % = 15

We have to find the cost price of the painting.

Now, we know that,

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

$\displaystyle{\implies\sf\:Profit\:\%\:=\:\dfrac{(\:S.P.\:-\:C.P.\:)\:\times\:100}{C.P.}\:\:\:-\:-\:-\:[\:\because\:Profit\:=\:S.P.\:-\:C.P.\:]}$

$\displaystyle{\implies\sf\:15\:=\:\dfrac{(\:1125\:-\:C.P.\:)\:\times\:100}{C.P.}}$

$\displaystyle{\implies\sf\:15\:=\:\dfrac{112500\:-\:100\:C.P.}{C.P.}}$

$\displaystyle{\implies\sf\:15\:C.P.\:=\:112500\:-\:100\:C.P.}$

$\displaystyle{\implies\sf\:15\:C.P.\:+\:100\:C.P.\:=\:112500}$

$\displaystyle{\implies\sf\:115\:C.P.\:=\:112500}$

$\displaystyle{\implies\sf\:C.P.\:=\:\cancel{\dfrac{112500}{115}}}$

$\displaystyle{\implies\sf\:C.P.\:=\:\cancel{\dfrac{22500}{23}}}$

$\displaystyle{\implies\underline{\boxed{\red{\sf\:C.P.\:=\:Rs.\:978.26}}}}$

∴ The cost price of the painting is Rs. 978.26.