Question : 35 percent of the marked price is equal to 40 percent of the cost price. If no discount is given, then what will be the profit percentage?
Option 1: 12.5 percent
Option 2: 25 percent
Option 3: 14.28 percent
Option 4: 16.66 percent
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Correct Answer: 14.28 percent
Solution : Given: 35 percent of the marked price (MP) is equal to 40 percent of the cost price(CP). Profit percentage = $\frac{\text{Selling price – Cost price}}{\text{Cost price}}×100$ According to the question, $MP \times \frac{35}{100}=CP\times \frac{40}{100}$ ⇒ $\frac{MP}{CP}=\frac{8}{7}$ No discount was given. So, MP = Selling price(SP) = 8 Profit percentage = $\frac{\text{Selling price – Cost price}}{\text{Cost price}}×100=\frac{8–7}{7}\times 100=\frac{1}{7}\times 100=14.28\%$ Hence, the correct answer is 14.28%.
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Question : 30% of the marked price is equal to 50% of the cost price. If no discount is given, then what will be the profit percentage?
Option 1: 66.67%
Option 2: 33.33%
Option 3: 52.5%
Option 4: 50%
Question : The marked price of an article is 160 percent of the cost price. If a 20 percent discount is given, then what will be the profit percentage?
Option 1: 28%
Option 2: 25%
Option 3: 22%
Option 4: 32%
Question : 15% of the marked price of an item is equal to 25% of its cost price. If a discount of 25% is given on the sale of the item, then what will be the profit percentage?
Option 1: 22.5%
Option 2: 20%
Option 3: 17.5%
Option 4: 25%
Question : $\frac{2}{5}$ of the marked price of an item is equal to $\frac{4}{7}$ of its cost price. If a discount of 15% is given on its sale, then what is the approximate profit percentage earned?
Option 1: 19.84%
Option 2: 23.63%
Option 3: 21.43%
Option 4: 14.28%
Question : The marked price of an article is 20 percent more than its cost price. If 10 percent discount is given on the marked price, then what will be the profit percentage?
Option 1: 8%
Option 2: 15%
Option 3: 12%
Option 4: 10%
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