A shopkeeper sells sugar in such a way that selling price of 950 g of sugar is same as cost price of

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7.Profit and Loss

hard

A shopkeeper sells sugar in such a way that the selling price of $950$ $g$ of sugar is the same as the cost price of $1\, Kg$ of sugar. What is his gain percent?

A

$5 \frac{5}{19}$

B

$5 \frac{1}{5}$

C

$5$

D

$4 \frac{1}{19}$

Solution

Let, the cost price of $1\, Kg (1000 g )$ of sugar be $₹ x$

$\therefore$ Cost price of $950 g$ of sugar $=₹ \frac{950 x}{1000}$

Now, according to the question,

Selling price of $950 g$ of sugar $=₹ x$

Profit $\%=\left(\frac{x-\frac{950 x}{1000}}{\frac{950 x}{1000}}\right) \times 100$

$=\frac{x(1000-950)}{950 x} \times 100$

$=\frac{1000-950}{950} \times 100=\frac{5 \times 100}{95}=\frac{100}{19}=5 \frac{5}{19} \%$

Standard 13

Quantitative Aptitude

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