Question 38

A shopkeeper sells rice at 10% profit and uses weight 30% less than the actual measure. His gain percent is

Solution

let the weight be 1000 g

profit% = 10%

altered weight=1000- 30% of 1000 = 1000 -300 = 700g

gain %= [100+profit%] $$\frac{1000}{altered weight} $$ -100

gain % = [100+10] $$\frac{1000}{700} $$-100 = $$\frac{1100-700}{7}$$= $$\frac{400}{7}$$

= $$ 57 \frac{1}{7}$$ %

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