 Hello and welcome to the session. In this session we will discuss the following question and the question says, a shopkeeper buys an article at 70% of its printed price. He spends 40 dollars on transportation of the article. After charging sales tax at the rate of 7% on the printed price, he sells the article for $6,848. Find the profit percent. Before we start solving the question, let us first recall the formula for profit and profit percent. Now profit is equal to selling price minus cost price and profit percent is equal to total profit upon cost price into 100. So this is the key idea for this question. And using this key idea, we will solve the question. Let's start the solution now. We will first do an assumption. Let the printed price of the article is equal to x dollars. Now it is given that the shopkeeper buys the article at 70% of the printed price. So shopkeeper buys the article at 70% of the printed price, which is x dollars. This is equal to 70 upon 100 into x dollars, which is equal to 70 x upon 100 dollars. Also it is given that he spends 40 dollars on the transportation. So transportation cost is equal to 40 dollars. This implies his cost price is equal to 70 x upon 100 dollars plus 40 dollars. Now sales tax is 7% on the printed price. So sales tax is equal to 7% of the printed price, which is x dollars. This is equal to 7 upon 100 into x dollars, which is equal to 7x upon 100 dollars. Therefore, selling price is equal to the printed price, which is x dollars plus sales tax, which is 7x upon 100 dollars. This is equal to 107x upon 100 dollars. Now we are given that the selling price is 6848 dollars. So this implies 107x upon 100 is equal to 6848 dollars. This implies x is equal to 600 848 into 100 upon 107 dollars. Now 107, 64 times is 6848. This implies x is equal to 6400 dollars. Now x was the printed price. Hence the printed price of the article is equal to 6400 dollars. The sales tax was 7x upon 100 dollars. So sales tax is equal to 7x upon 100, which is equal to 7 into 6400 upon 100 dollars. Zeros get cancelled and this is equal to 448 dollars. Now we had calculated the cost price to be this amount. Substituting the value of x in this, we get cost price is equal to 70x upon 100 dollars plus 40 dollars. This is equal to 70 into 6400 upon 100 dollars plus 40 dollars. Zeros get cancelled. So this is equal to 44880 dollars plus 40 dollars. This is equal to 4520 dollars. We will now calculate the profit. Going back to the key idea, we have the formula for profit is this. So profit is equal to selling price minus cost price. Now the selling price is given to us and it is 6848 dollars and the sales tax is 448 dollars. Since sales tax is not included in the profit, so we subtract sales tax from the selling price. So profit is equal to selling price which is 6848 dollars minus the sales tax which is 448 dollars. The whole minus the cost price which is 4520 dollars. This is equal to 6400 dollars minus 4520 dollars which is equal to 1880 dollars. We have to find the profit percent. Using the key idea we have the formula for profit percent is this. Therefore profit percent is equal to profit upon cost price into 100. This is equal to profit which is 1880 upon cost price which is 4520 into 100. Zero gets cancelled and so 113 times is 452 and 37 times is 188. This is equal to 41.59 percent. Hence profit percent is equal to 41.59 percent and this is the final answer. With this we end our session. Hope you enjoyed the session.