A trader marked the selling price of an artic | vedclass

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Question

Let the cost price of article be $Rs 100.$

$	herefore$ Marked price $=Rs. 110$

Let $x \%$ be the discount given

$	herefore \quad$ S.P. $=11

Vedclass · Accepted Answer

$10$

Vedclass · Answer

Let the cost price of article be $Rs 100.$

$	herefore$ Marked price $=Rs. 110$

Let $x \%$ be the discount given

$	herefore \quad$ S.P. $=110\left(1-\frac{x}{100}ight)$

$\%$ loss $=\frac{	ext { C.P. }-	ext { S.P. }}{	ext { C.P. }} 	imes 100$

or $100\left(1-\frac{ S.P. }{ C.P. }ight)=1$

or $1-\frac{ S.P. }{ C.P. }=\frac{1}{100}$

or $\frac{S \cdot P}{C \cdot P}=1-\frac{1}{100}=\frac{99}{100}$

i.e. $S.P.$ $=110\left(1-\frac{x}{100}ight)=99$

or $1-\frac{x}{100}=\frac{99}{110}$

or $\frac{x}{100}=1-\frac{99}{110}=\frac{11}{110}=\frac{1}{10}$

or $x=10 \%$

A trader marked the selling price of an article at $10 \%$ above the cost price. At the time of selling, he allows certain discount and suffers a loss of $1 \% .$ He allowed a discount of $\%$

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