• question_answer Directions From the four answers given, shade the appropriate answer in the space provided for it on the OW Answer Sheet. A dishonest shopkeeper uses a weight of 800 g for a kg and professes to sell his good at cost price. His profit is A) 20%                             B) 21% C) 24%                             D) 25%

Correct Answer: D

Solution :

Ans.    Suppose goods cost the shopkeeper Rs 100 per kg. But he sells for Rs 100 what cost him Rs 80. So, gain on Rs 80 =100-80 Rs 20 Gain on $100=\frac{20}{80}\times 100=\frac{100}{4}\,\text{Rs}\,25$ Percentage of gain = 25 % Shortcut Method In this condition Percentage gain $\frac{\text{Error in weight}}{\text{False weight}}\times 100$ $=\frac{1000-800}{800}\times 100$ $=\frac{200}{800}\times 100=25%$%

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