A shopkeeper wishes to give 5 % commission on marked price of an article but also wants to earn a pr

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7.Profit and Loss

easy

A shopkeeper wishes to give $5 \%$ commission on the marked price of an article but also wants to earn a profit of $10 \% .$ If his cost price is $\,95,$ then the marked price is (in $Rs.$)

A

$100$

B

$110$

C

$120$

D

$130$

Solution

Let, the marked price be $₹ x$

Selling price of the article at $5 \%$ commission

$=x\left(\frac{100-5}{100}\right)=₹ \frac{95 x}{100}$

Cost price of the article at $10 \%$ profit

$=\frac{95 x}{100}\left(\frac{100}{100+10}\right)=₹ \frac{95 x}{110}$

Now, according to the question,

$\frac{95 x}{110}=95$

$\Rightarrow \quad x=\frac{95 \times 110}{95}=Rs. 110$

Standard 13

Quantitative Aptitude

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