Question

A trader marks a jacket at such a price that after allowing a discount of 10% he still makes a profit of 40% . If the CP of jacket is Rs 3488 , find its SP and MP​

Answer 1

Answer:

Here is yr answer

MP = Rs 5425.777

SP = Rs 4883.2

Answer 2

AnswEr :

$\bf{\purple{\underline{\underline{\bf{Given\::}}}}}$

A trader marks a jacket at such a price that after allowing a discount of 10%. He still makes a profit of 40%. If the C.P. of jacket is Rs.3488.

$\bf{\purple{\underline{\underline{\bf{To\:find\::}}}}}$

• Selling price (S.P.) of jacket.
• Marked price (M.P.) of jacket.

$\bf{\red{\underline{\underline{\bf{Explanation\::}}}}}$

$\bf{We\:have}\begin{cases}\sf{Cost\:price\:(C.P.)\:of\:jacket\:=\:Rs.3488}\\ \sf{Profit\:(\%)=40\%}\\ \sf{Discount\:(\%)\:=10\%}\end{cases}}$

$\dag\bf{\orange{\large{\underline{\bf{1st\:Case\::}}}}}$

Formula use :

$\bf{\boxed{\sf{Selling\:price\:(S.P.)=\frac{100+Gains\%}{100} \times C.P.}}}}}$

$\mapsto\tt{S.P.=\dfrac{100+40}{100} \times 3488}\\\\\\\mapsto\tt{S.P.=\cancel{\dfrac{140}{100}} \times 3488}\\\\\\\mapsto\tt{S.P.=Rs.(1.4\times 3488)}\\\\\\\mapsto\tt{\red{S.P.=Rs.4883.2}}$

$\therefore\sf{\large{\purple{\underline{\sf{The\:Selling\:price\:(S.P.)\:of\:jacket\:=Rs.4883.2}}}}}$

$\dag\bf{\orange{\large{\underline{\bf{2nd\:Case\::}}}}}$

Let the marked price be r

Formula use :

$\bf{\boxed{\sf{Discount\:(D)=\frac{Discount\%}{100} \times M.P.}}}}$

$\dashrightarrow\tt{Discount=\frac{1\cancel{0}}{10\cancel{0}} \times r}\\\\\\\dashrightarrow\tt{\purple{Discount=\dfrac{r}{10} }}$

__________________________________________

We know that;

$\bf{\red{\underline{\sf{Selling\:price\:(S.P.)=Marked\:price\:(M.P.)-Discount}}}}$

$\mapsto\tt{4883.2=r-\dfrac{r}{10} }\\\\\\\mapsto\tt{4883.2=\dfrac{10r-r}{10} }\\\\\\\mapsto\tt{4883.2=\dfrac{9r}{10} }\\\\\\\mapsto\tt{4883.2\times 10=9r}\\\\\\\mapsto\tt{48832=9r}\\\\\\\mapsto\tt{r=\cancel{\dfrac{48832}{9} }}\\\\\\\mapsto\tt{\red{r=Rs.5425.77}}$

Thus,

$\therefore\sf{\large{\purple{\underline{\sf{The\:Marked\:price\:(M.P.)\:of\:jacket\:=Rs.5425.77.}}}}}$