 Hello and welcome to the session. In this session we are going to discuss the following question which says that a shopkeeper marked the price of $240 on a headphone set. During a sale, the shopkeeper allows a 5% discount on the marked price. One, then sold at the next price, the dealer makes a profit of 19% on the cost price. What was the cost price? Second, if he further allows a discount of 4% on the sale price, what will be his profit percent? Let us proceed with the solution. The question says that $240 is given as the marked price of the headphone set and during a sale the shopkeeper allows a discount of 5% on the marked price and then sold at the next price, the dealer makes a profit of 19% on the cost price and we need to find out the cost price. Marked price is given as $240 and 5% discount is given on the marked price. So, discount is 5% of $240 which is equal to 5 by 100 into $240 which is equal to $12. Now we know that selling price is equal to marked price minus discount that is $240 minus $12 which is equal to $228. When sold at the next price, the profit is given as 19% then let us assume the cost price is $100 when selling price is given by cost price plus 19% of the cost price which is equal to 100 plus 19% of 100 which is 19 so we have 100 plus 19 that is $119. Now, selling price is $119 when cost price is $100 also selling price is $1 when cost price is 100 upon $119. Therefore, selling price is $228 when cost price is equal to $100 upon $119 into $228 which is equal to $191.6 Therefore, the cost price of the headphone set is $191.6 which is the required answer. Next we have if the shortkeeper allows a discount of 4% on the sale price we need to calculate his profit percent. Now the second discount is equal to 100% of $228 which is equal to 100 by 100 into $228 that is $228 divided by 25 which is equal to $9.12. Now our new selling price will be $228 minus $9.12 which is equal to $218.88 and we know that the cost price is equal to $191.6. Therefore, the profit is given by selling price minus cost price that is $218.88 minus $191.6 which is equal to $27.28. Now we know that profit percent is equal to profit upon cost price into 100, profit is given by $27.28 and cost price is equal to $191.6 into 100 which is equal to $2728 upon $191.6 which is given by 14.24. Therefore, the profit percent is given by 14.25% which is the final answer. This completes our session. Hope you enjoyed this session.