Question : If the selling price of an article is $1\tfrac{1}{3}$rd of the cost price, find gain percentage:
Option 1: $25\%$
Option 2: $33\frac{1}{3}\%$
Option 3: $1.33\%$
Option 4: $66\tfrac{2}{3}\%$
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Correct Answer: $33\frac{1}{3}\%$
Solution : Given: The selling price (SP) of an article is $1\tfrac{1}{3}$rd of the cost price (CP). Gain percentage $=\frac{\text{Selling price – Cost price}}{\text{Cost price}}×100$ Gain percentage $=\frac{\frac{4}{3}×\text{CP}-\text{CP}}{\text{CP}}×100=(\frac{4}{3}-1)×100=\frac{100}{3}\%=33\frac{1}{3}\%$ Hence, the correct answer is $33\tfrac{1}{3}\%$.
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Question : The selling price of 6 bananas is equal to the cost price of 8 bananas. Then the percentage of profit is:
Option 1: $20\%$
Option 3: $25\%$
Option 4: $30\%$
Question : The marked price of an item is 25% more than that of its cost price. If a discount of 10% is given on the marked price, then the gain percentage is:
Option 1: $10 \frac{1}{2}$%
Option 2: $9 \frac{1}{2}$%
Option 3: $13 \frac{1}{2}$%
Option 4: $12 \frac{1}{2}$%
Question : Upon selling an article at $\frac{3}{7}$ of the marked price, a loss of 30% is incurred. What is the ratio between the marked price and the cost price of the article?
Option 1: 48 : 60
Option 2: 49 : 30
Option 3: 25 : 37
Option 4: 50 : 80
Question : A merchant loses 10% by selling an article. If the cost price of the article is Rs. 15, then the selling price of the article is:
Option 1: Rs. 13.20
Option 2: Rs. 16.50
Option 3: Rs. 12.30
Option 4: Rs. 13.50
Question : If an article is sold at $\frac{9}{10}th$ of its usual selling price, 20% profit would be made on it. Find the profit percentage which would have been made on it on selling it at its usual selling price.
Option 1: 33.33%
Option 2: 25%
Option 3: 30%
Option 4: 20%
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