### A shopkeeper sells sugar in such a way that the selling price of 950g of sugar is the same s 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. $4 \frac{1}{19} \%$ Answer: Option A
$\begin{array}{l}\text{Sell sugar }\\ \text{= 950 g instead of 1000 g}\\ \text{Profit in sugar}\\ \text{= 1000-950 = 50 g}\\ \text{Now, % profit}\\ =\frac{50\times100}{950}=5\frac{5}{19}\%\\ \end{array}$ Short-cut $\begin{array}{l}\%\text{ profit }\\ =\frac{\text{ Goods left }}{\text{ Goods sold }}\times100\\ =\frac{50}{950}\times100\\ =5\frac{5}{19}\%\end{array}$