 Hello and welcome to the session. In this session we will discuss the following question and the question says, a manufacturer sells goods to an agent at a profit of 20%. The agent's wholesale price to a shopkeeper is at a profit of 10% and the shopkeeper retails his goods at a profit of 15%. Find the manufacturing price of an article bought from the shop for $197.34. Let's start the solution now. In this question we are given the selling price of the article which is $197.34 and we have to find the manufacturing price. So we will first do an assumption. Let the manufacturing cost of the article is equal to $100. It is given that the manufacturer sells goods to an agent at a profit of 20%. So manufacturers profit is equal to 20% of the manufacturing cost which is $100. This is equal to 20 upon 100 into $100 which is equal to $20. Therefore we have manufacturers selling price is equal to the manufacturing cost which is $100 plus manufacturer's profit which is $20. This is equal to $120. Now since the manufacturer itself goods to an agent, so agent's cost price is equal to manufacturer's selling price. This implies agent's cost price is equal to $120. Now the agent's wholesale price to a shopkeeper is at a profit of 10%. So agent's profit is equal to 10% of agent's cost price which is $120. This is equal to 10 upon 100 into $120 which is equal to $12. So therefore agent's selling price is equal to agent's cost price which is $120 plus agent's profit which is $12. This is equal to $132. Now the agent sells goods to a shopkeeper. So shopkeeper's cost price is equal to agent's selling price which is equal to $132. Also the shopkeeper retails his goods at a profit of 15%. So shopkeeper's profit is equal to 15% of shopkeeper's cost price which is $132. This is equal to $15 upon 100 into $132 which is equal to $19.80. So therefore we have shopkeeper's selling price is equal to shopkeeper's cost price which is $132 plus shopkeeper's profit which is $19.80. This is equal to $151.80. Now we know that the retail price is equal to shopkeeper's selling price. Hence retail price is equal to $151.80. We had assumed that the manufacturing cost is $100 and we got the retail price of $151.80. So if the retail price $151.80 manufacturing cost is equal to $100. Now we have to find the manufacturing price when the retail price is given to be $197.34. So if the retail price is $197.34 then manufacturing cost is equal to $100 upon $151.80 into $197.33. Now removing the decimals and this 0 and 0 get cancelled. Now 2 5 times is 10 and 759 times is 1580. Now 11 69 times is 759 and 11 1794 times is 19734. Also 323 times is 69, 3598 times is 1794 and 23 26 times is 598. This is equal to 5 into 26 dollars which is equal to $130. Hence the manufacturing cost of the article is equal to $130 and this is the final answer. With this we end our session. Hope you enjoyed the session.