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1. 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. $4 \frac{1}{19} %$

Solution:

\begin{aligned} Sell sugar \\ = 950 g instead of 1000 g \\ Profit in sugar \\ = 1000 - 950 = 50 g \\ Now, % profit \\ = \frac{50 \times 100}{950} = 5 \frac{5}{19} % \\ Short - cut : \\ % profit \\ = \frac{Goods lef t}{Goods sold} \times 100 \\ = \frac{50}{950} \times 100 \\ = 5 \frac{5}{19} % \end{aligned}

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