Question

Seema purchased a chair for Rs. 2400. She wants to mqke a profit of 20% after giving a discount of 10% on the marked price. What should be the marked price ?​

Answer 1

AnsweR :

$\bf{\Large{\underline{\sf{Given\::}}}}$

Seema purchased a chair for Rs.2400. She wants to make a profit of 20% after giving a discount of 10% on the marked price.

$\bf{\Large{\underline{\sf{To\:find\::}}}}$

The marked price.

$\bf{\Large{\underline{\tt{\purple{Explanation\::}}}}}$

Let the Marked Price (M.P.) be Rs. R

$\bf{\red{We\:have}\begin{cases}\sf{The\:Cost\:price\:(C.P.)\:of\:chair\:=\:Rs.2400}\\ \sf{Profit\:=\:20\%}\\ \sf{Discount\:=\:10\%\:on\:the\:M.P.}\end{cases}}$

A/q

Formula Use :

$\bf{\large{\boxed{\sf{Selling\:Price\:(S.P.)=\bigg(\dfrac{100+gain\%}{100}\bigg) *C.P.}}}}}}$

$\hookrightarrow\sf{S.P.\:=\:\bigg(\dfrac{100+20}{100} \bigg)*2400}\\\\\\\\\hookrightarrow\sf{S.P.\:=\:\dfrac{120}{\cancel{100}} *24\cancel{00}}\\\\\\\\\hookrightarrow\sf{S.P.\:=\:Rs.(120*24)}\\\\\\\\\hookrightarrow\sf{\pink{S.P.\:=\:Rs.2880}}$

Formula Use :

$\bf{\large{\boxed{\sf{Discount\:=\:\frac{Discount\%}{100} *Marked\:price\:(M.P.)}}}}}$

Now,

$\implies\sf{R-\dfrac{10}{100} *R=2880}\\\\\\\implies\sf{R-\dfrac{10R}{100} =2880}\\\\\\\implies\sf{\dfrac{100R-10R}{100} =2880}\\\\\\\implies\sf{\dfrac{90R}{100} =2880}\\\\\\\implies\sf{90R\:=\:288000}\\\\\\\implies\sf{R\:=\:\cancel{\dfrac{288000}{90} }}\\\\\\\implies\sf{\red{R\:=\:Rs.3200}}$

Thus,

$\bigstar$ The Marked Price is Rs.3200.