The marked price of an article is Rs. 550. A shopkeeper allows a discount of 20% and still gets a profit of 10%. If he sells it for Rs. 470, his profit percent will be:

First, determine the cost price of the article using the initial condition where a 20 percent discount on the 550 rupee marked price yields a 10 percent profit. The cost price is found by the formula Cost Price equals Marked Price times (100 percent minus Discount percent) divided by (100 percent plus Profit percent), which is 550 times 80 divided by 110, resulting in a cost price of 400 rupees. When the shopkeeper sells the article for 470 rupees, the profit is 470 minus 400, which equals 70 rupees. The profit percentage is then calculated as (70 divided by 400) times 100, resulting in 17.5 percent.

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