 Hello and welcome to the session. In this session we are going to discuss the following question and the question says that A shopkeeper allows a discount of 8% on the marked price of a certain article and makes a profit of 15% if the article costs the shopkeeper $180 what price should be marked on the article. Let us proceed with the solution. We are given the cost price of a certain article as $180 at the discount of 8% is given. Also a profit of 15% is given. We need to find out the marked price of the article. Now the cost price of the article is given as $180 and we are also given a profit of 15% and we know that selling price is given by the formula 100 plus profit percent upon 100 into cost price. So we have 100 plus profit percent is given by 15 upon 100 into $180 which is the cost price. So we have 115 by 100 into $180 which is equal to 207 therefore selling price is given by $207. Now suppose the marked price be equal to $100 and the discount is given as 8% then the selling price is equal to 100 minus $8 that is $92. Now if selling price is $92 the marked price is equal to $100 therefore if selling price is $7 then the marked price is equal to 100 upon 92 into $207 which is equal to $20,700 upon $92 equal to $225 the marked price equal to $225 Hence $225 should be marked on the article. This completes our session. Hope you enjoyed this session.