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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 100+45100 + 45% of 100 = $145.

Step 3: A discount of 20% is given on the marked price, so the selling price would be 14520145 - 20% of 145 = $116.

Step 4: The profit made is the selling price minus the cost price, which is 116116 - 100 = $16.

Step 5: The profit percentage is calculated as (Profit/Cost price) x 100. So, the profit percentage is (16/16/100) x 100 = 16%.

So, the profit percentage is 16%.

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