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 : $\frac{2}{5}$ 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 : 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 : The marked price of an article is 150 percent of the cost price. If a 30 percent discount is given, then what will be the profit percentage?
Option 1: 3 percent
Option 2: 5 percent
Option 3: 6 percent
Option 4: 4 percent
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