Question

A vegetable vendor by means of his false balance defrauds to the extent of 10% in buying goods and also defrauds to 10% in selling, then the gain percent is

Accepted Answer

C. When buying, he gets $110$ gm for the cost of $100$ gm. When selling, he gives $90$ gm while charging for $100$ gm. Overall multiplying factor: $$= \left(1 + \frac{10}{100}ight) 	imes \left(1 + \frac{10}{90}ight) = \frac{110}{100} 	imes \frac{100}{90} = \frac{11}{9}$$ Gain percentage: $$= \left(\frac{11}{9} - 1ight) 	imes 100 = \frac{2}{9} 	imes 100 = 22\frac{2}{9}\%$$

False Balance Profit Percentage

Explanation

Practise this under exam conditions