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The marked price of an article is 45% more than its cost price. If a discount of 20% is given, then what is the profit percentage?

Question

The marked price of an article is 45% more than its cost price. If a discount of 20% is given, then what is the profit percentage?

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Solution

Step 1: Let's assume the cost price of the article is $100.

Step 2: Given that the marked price is 45% more than the cost price, the marked price would be $145 (100 + 45% of 100).

Step 3: A discount of 20% is given on the marked price. So, the selling price would be $116 (145 - 20% of 145).

Step 4: Now, we can calculate the profit by subtracting the cost price from the selling price. So, the profit would be $16 (116 - 100).

Step 5: Finally, the profit percentage can be calculated as (Profit/Cost price) * 100. So, the profit percentage would be 16%.

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