Question : A dishonest shopkeeper professes to sell goods at its cost price but uses a false weight of 950 gm for each kilogram. His gain percentage is:
Option 1: $6\frac{1}{4}\%$
Option 2: $5\frac{5}{19}\%$
Option 3: $5\frac{3}{17}\%$
Option 4: $6\frac{2}{7}\%$
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Correct Answer: $5\frac{5}{19}\%$
Solution : The shopkeeper sells 950 gm instead of 1000 gm. Let the cost price of 1 gm be Re. 1. Selling price of 950 gm = Cost price of 1000 gm = Rs. 1000 The cost price of 950 gm = Rs. 950 Profit = Rs. 1000 – Rs. 950 = Rs. 50 So, profit % $=\frac{\text{Profit}}{\text{CP}} × 100 = \frac{50}{950}× 100 = 5\frac{5}{19}\%$ Hence, the correct answer is $5\frac{5}{19}\%$.
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Question : A dishonest dealer professes to sell his goods at a cost price but he uses 950 gm weight for a kilogram. His gain percentage is: (rounded off to two decimal places)
Option 1: 5.35%
Option 2: 5.26%
Option 3: 5.86%
Option 4: 5.96%
Question : A dishonest dealer professes to sell his goods at cost price but uses a false weight and thus gains 15%. For a kilogram, he uses a weight of _________ (rounded off to one digit after decimal).
Option 1: 833.3 gm
Option 2: 876.7 gm
Option 3: 869.6 gm
Option 4: 898.33 gm
Question : A shopkeeper sells rice at 10% profit and uses a weight that is 30% less than the actual measure. His gain percentage is:
Option 1: $57\frac{1}{8}\%$
Option 2: $57\frac{1}{7}\%$
Option 3: $57\frac{2}{5}\%$
Option 4: $57\frac{3}{7}\%$
Question : A dishonest merchant sells goods at a 12.5% loss on the cost price but uses 28 g weight instead of 36 g. What is his percentage profit or loss?
Option 1: 6.25% loss
Option 2: 12.5% gain
Option 3: 18.75% gain
Option 4: 10.5% loss
Question : A dishonest dealer sells a product at an 11% loss on cost price but uses 22% less weight. What is his percentage profit or loss?
Option 1: 14.1% loss
Option 2: 14.1% gain
Option 3: 11.4% gain
Option 4: 11.4 % loss
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