Question : A grocer sells rice at 10% profit and uses weights which are 20% less than the market weight. The total gain percentage earned by him is:
Option 1: $33 \frac{1}{3}$%
Option 2: $20$%
Option 3: $40$%
Option 4: $37.5$%
Correct Answer: $37.5$%
Solution : A grocer sells rice at 10% profit. Let the cost price of the rice be 100. Selling price = 100 + 10 = 110 He uses weights that are 20% less than the market weight. Original cost of that rice = 100 – 20 = 80 $\therefore$ His profit percentage = $\frac{110-80}{80}×100=\frac{30}{80}×100=37.5\%$ Hence, the correct answer is $37.5$%.
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Question : A dealer sells his goods at a 10% loss on the cost price but uses 25% less weight. What is his profit percentage?
Option 1: 35%
Option 2: 20%
Option 3: 25%
Option 4: 15%
Question : By selling 24 items, a shopkeeper gains the selling price of 4 items. His gain percentage is:
Option 1: $16 \frac{1}{3} \%$
Option 2: $20 \%$
Option 3: $33 \frac{1}{3} \%$
Option 4: $16 \frac{2}{3} \%$
Question : Find the HCF of $\frac{11}{25}, \frac{9}{20}, \frac{16}{15}$, and $\frac{10}{33}$.
Option 1: $\frac{1}{3300}$
Option 2: $\frac{1}{330}$
Option 3: $\frac{1}{33}$
Option 4: $\frac{1}{300}$
Question : A dishonest dealer announces selling his articles with 22% loss but uses 35% lighter weights. What is the percentage of his profit or loss?
Option 1: 20% Loss
Option 2: 13% profit
Option 3: 13% loss
Option 4: 20% profit
Question : A merchant marks an article 20% above the cost price. He then sells it at a discount of 20%. The sale gives him:
Option 1: No loss no gain
Option 2: 4% loss
Option 3: 2% gain
Option 4: 4% gain
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