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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
