A trader marked selling price of an article at 10 % above cost price. At time of selling, he allows

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7.Profit and Loss

hard

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 $\%$

$9$

$10$

$10.5$

$11$

Let the cost price of article be $Rs 100.$

$\therefore$ Marked price $=Rs. 110$

Let $x \%$ be the discount given

$\therefore \quad$ S.P. $=110\left(1-\frac{x}{100}\right)$

$\%$ loss $=\frac{\text { C.P. }-\text { S.P. }}{\text { C.P. }} \times 100$

or $100\left(1-\frac{ S.P. }{ C.P. }\right)=1$

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. $S.P.$ $=110\left(1-\frac{x}{100}\right)=99$

or $1-\frac{x}{100}=\frac{99}{110}$

or $\frac{x}{100}=1-\frac{99}{110}=\frac{11}{110}=\frac{1}{10}$

or $x=10 \%$

Standard 13

Quantitative Aptitude

hard

hard

medium

easy

medium