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: $57\frac{3}{7}\%$
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Correct Answer: $57\frac{1}{7}\%$
Solution : Let the cost price (CP) of 1 kg. of rice be Rs. 100. As he uses 30% less weight and sells at 10% profit, Selling price (SP) of (1000 – 300) = 700 gm of rice = Rs. 110 ⇒ SP of 1000 gm of rice = $\frac{110}{700}×1000$ = $\frac{1100}{7}$ So, profit = SP – CP = $\frac{1100}{7}-100$ = $\frac{400}{7}$ Profit Percentage = $\frac{\text{Profit}}{\text{CP}}×100$ = $\frac{\frac{400}{7}}{100}×100$ = $\frac{400}{7}$ = $57\frac{1}{7}\%$ Hence, the correct answer is $57\frac{1}{7}\%$.
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Question : A shopkeeper sells an item at a profit of 15% and uses a weight which is 20% less. Find his actual profit percentage.
Option 1: 42.5%
Option 2: 50%
Option 3: 40%
Option 4: 43.75%
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
Question : A dealer sells his goods at a profit of 20% but uses a weight of 800 g in place of a kg weight. Find his real gain percentage.
Option 1: 40%
Option 2: 44%
Option 3: 50%
Option 4: 42%
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: $6\frac{2}{7}\%$
Question : A shopkeeper uses 940 gm weight in place of one kg weight. He sells it at 4% profit. What will be the actual profit percentage? (rounded off to two decimal places)
Option 1: 9.25%
Option 2: 10.32%
Option 3: 10.64%
Option 4: 10.96%
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