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%
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Correct Answer: 21.43%
Solution : $\frac{2}{5}$ × marked price = $\frac{4}{7}$ × cost price Marked price = $\frac{10}{7}$ × cost price Discount = 15% of marked price = $\frac{15}{100}×\frac{10}{7}$ × cost price Selling price = marked price – discount = $(1-\frac{15}{100})×\frac{10}{7}$ × cost price = $\frac{85}{100}×\frac{10}{7}$ × cost price = $\frac{85}{70}$ × cost price Profit = selling price – cost price = $\frac{85}{70}$× cost price – cost price = $\frac{85-70}{70}$× cost price = $\frac{15}{70}$× cost price Profit percentage = $\frac{\text{profit}}{\text{cost price}}×100$ = $\frac{15}{70}×100$ = 21.43% Hence, the correct answer is 21.43%.
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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?
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Question : The marked price of an article is 40% more than its cost price. If a 25% discount is given, what will be the profit percentage?
Question : There is a profit of 10% when an item is sold at $\frac{5}{6}$ of its actual selling price. What will be the profit percentage on the cost price when the item is sold at its actual selling price?
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