A shopkeeper allows 23 % commission on his advertised price and still makes a profit of 10 % . If he

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7.Profit and Loss

medium

A shopkeeper allows $23 \%$ commission on his advertised price and still makes a profit of $10 \%$. If he gains $Rs.\,56$ on one item. His advertised price of the item, in $Rs.$ is

$820$

$780$

$790$

$800$

Let, the advertised price be $₹ x$ Then, $S.P.$ $=₹ \frac{77 x}{100}$

Therefore, $C.P.$ $=₹\left(\frac{77 x}{100}-56\right)$

$\therefore \quad \frac{77 x-5600}{100}=\frac{110}{100}=\frac{77 x}{100}$

$\Rightarrow \frac{77 x-5600}{100}=\frac{77 x}{110}=\frac{7 x}{10}$

$\Rightarrow 77 x-5600=70 x$

$\Rightarrow 77 x-70 x=5600$

$\Rightarrow 7 x=5600$

$\Rightarrow x=\frac{5600}{7}=Rs. 800$

Standard 13

Quantitative Aptitude

medium

medium

medium

easy

hard