 Hello and welcome to the session. In this session we shall discuss the following question and the question says that In fact, at the beginning of the month, Lindsay bought an aquarium and priced it at $125. By the end of the month, the aquarium had not sold, so Lindsay marked it down 25%. Lindsay then sold the aquarium, earning a commission of 12% of the sale price. How much commission did she make from the sale? Part B, our shoes store users a 30% marker on cost. Find the cost of a pair of shoes that sells for $65. We know that marks down price is equal to discount percent into original price commission is given by commission percent into sales, sale price for markdown is given by original price plus markdown price and similarly sale price for markdown is equal to original price minus markdown price. With this key idea, we shall proceed to the solution. In this question, we shall first find the sale price after discount. We are given the original price of the aquarium as $125 and the discount is given as 25% of the original price that is the original price of the aquarium is given as $125. Markdown percent or discount percent is given as 25% and from the key idea, we know that markdown price of discount is given by discount percent into original price. Therefore, discount is given by 25% of the original price that is 25% is given by 25 by 100 into the original price that is 125. So, we get 125 by 4 which is equal to 31.25. Therefore, we get the discount as 31.25 dollars. Now, we shall find the sale price and from the key idea, we know that sale price for markdown is given by original price minus markdown price. So, sale price will be equal to original price minus markdown price of the discount. The original price is given as $125 and discount is given by $31.25. So, we get $125 minus $31.25 is equal to $93.75. So, sale price is given by $93.75. Now, it is given that Linse sold the aquarium earning a commission of 12% of the sale price and we need to find out how much commission did she make from the sale and from the key idea, we know that commission is equal to commission percent into sales. So, here commission is given as 12% of the sale price and from the key idea, we know that commission is given by commission percent into sale price that is 12% into sale price that is $93.75. Therefore, we have $1200 into $93.75 which is equal to $0.12 into $93.75 that is $11.25. So, we can say Linse earned $11.25 commission which is the required answer. Now, we shall move on to the second part of the question. In this question, we are given sale price of a pair of shoes as $65 and 30% markup is given on the cost. The sale price of a pair of shoes is given as $65. We are also given a markup of 30% on the cost and we need to find the original price. So, let original price be X and we know that markup price is given by markup percent of original price that is 30% of original price which is equal to $30.00 into the original price that is X and we get the markup price as 3 into X by 10 that is 3X by 10 and from the key idea, we know that sale price for markup is equal to original price plus markup price. So, here sale price of the pair of shoes will be equal to original price plus markup price and we are given sale price of the pair of shoes as $65 that is $65 and this equal to original price which is equal to X plus markup price that is 3 into X by 10 which implies that $65 is equal to not taking least common denominator of 1 and 10 we get 10 and in the numerator we get 10 into X that is 10X plus 3X. So, we get 65 is equal to 10X plus 3X that is 13X by 10. By cross multiplication we get X is equal to 65 into 10 by 13 which implies that X is equal to 5 into 10 that is 50. So, we say that the original price is $50 which is the required answer. This completes our session. Hope you enjoyed this session.