Question

A shopkeeper sells sugar in such a way that the selling price of $950gm$ is the same as the cost price of one kg. Find his gain $\%$.

• A. $3\frac{7}{12}$%
• B. $4\frac{11}{14}$%
• C. $5\frac{5}{19}$%
• D. $6\frac{9}{14}$%

Answer 1

Answer: (C)

$5\frac{5}{19}$%

Let C.P of $1kg$ sugar $=1Rs$
Then, S.P of $\frac{950}{100}kg$ sugar is $=1Rs$
$\therefore$ S.P of $1kg$ sugar $=\frac{100}{95}=\frac{20}{19}Rs.$
Profit $=\frac{20}{19}-1=\frac{1}{19}Rs.$
Profit Percent $=\frac{\frac{1}{19}}{1}\times 100=\frac{100}{19}=5\frac{5}{19}$%

Hence, option C.