Percentage as a Rate per Hundred - Step-by-Step Lesson Lesson 1 Percentage Problem: 1) Which soap is the best buy? a) 6 sandal soaps for $66.00 b) 5 rose soaps for $40.00 c) 8 almond soaps for $70.00 d) 4 cream soaps for $50.00 Explanation: Step 1) The unit price is the price per item or per unit of measure. We have to find each unit price. Divide the total cost by the number of soaps. Step 3) $66 6 = $11.00 $40 5 = $8.00 $70 8 = $8.75 $50 4 = $12.50 The unit price for the 5 rose soaps for $40.00 is the lowest. Rose soaps are the best buy.
Percentage as a Rate per Hundred - Guided Lesson Complete the following problems: 1) Jolly went to the book shop. There she bought four books for $350. She sold a book to her friend and got back 30% of her money. How much money did she charge her friend for the book? 2) Kip has a handbag shop. Each bag costs $200. Kip is having a 20% off sale on each bag. What is the cost of a bag now? 3) Troy bought 4 dozen bananas. 40% of the bananas were used to make custard and 10% of the bananas were given to his son. Write the number of bananas Troy had left?
Percentage as a Rate per Hundred - Guided Lesson Explanation Explanation#1 Step 1) We know that a percent is 1 part out of 100. 1 % is equal to problems. or 0.01. Proportions can be used to solve percent Step 2) First we have to find 30% of 350. Because the whole is 350 and the percentage is 30%. Step 3) Let n represent the part. Write a proportion and find the cross products to solve for n. 100 n = 30 x 350 100 n = 10,500 100 n 100 = 10,500 100 n = 105 So, Jolly got $105 back from her friend.
Explanation#2 Step 1) We know that a percent is 1 part out of 100. 1 % is equal to problems. or 0.01. Proportions can be used to solve percent Step 2) First we have to find 20% of 200. Let r represent the part. Write a proportion and find the cross products to solve for n. 100 r = 20 x 200 100 r = 4000 100 r 100 = 4000 100 r = 40 Step 3) Now we have to find the cost of a bag. Cost discount = New Price 200 40 = 160 So, a customer can buy a bag for $160.
Explanation#3 Step 1) We know that a percent is 1 part out of 100. 1 % is equal to problems. or 0.01. Proportions can be used to solve percent Step 2) How many bananas do we have? 1 dozen = 12 bananas 4 dozen = 12 x 4 = 60 4 dozen = 60 bananas Step 3) What percentage of the bananas are gone? Total percentage gone = percent to custard + percent to his son 50% = 40% + 10% We have to find 50% of 60. Let r represent the part. Write a proportion and find the cross products to solve for n. 100 r = 50 x 60 100 r = 3000 100 r 100 = 3000 100 r = 30 So, he has 30 bananas left.
Percentage as a Rate per Hundred - Independent Practice Worksheet Complete all the problems. 1. In a department store the owner paid $15 for 1 kg of sugar. The owner marked the price up by 10% for the customers. How much does he charge for 1kg of sugar? 2. Tom and Jerry went out for dinner. They ordered a nice meal and their bill was $300. They also paid 15% tax on their bill. What was the amount of the tax they paid? 3. Wilson has 60 chocolates. He gives 30% of the chocolates to kids. Write the number of chocolates that he gave to kids. 4. Hall adds 50% of the entire 3-liter oil bottle to a bowl. How much oil did he use? 5. Brown went to Paris. He paid $500 for the flight. And due to some inconvenience he got 12% back from the airline. What is the amount of the money he got back? 6. Mr. White bought a pair of shoes for $100 and he received a 20% discount on them. How much was taken off the price? 7. On Sunday, I bought three dresses for $900. I gave one of them to my friend and she paid me 35% of the total cost of all the dresses. How much did my friend give me?
8. In our hall, there are 10 fans, but only 60% of the fans are working. Write the number of fans that are out of order. 9. Which ice cream is the best buy below? a) 15 cups of butter scotch ice cream for $50 b) 12 cups of mango ice cream for $42 c) 14 cups of strawberry ice cream for $48 d) 10 cups of chocolate ice cream for $30 10. Which juice is the best buy below? a) 2 lime juice for $5 b) 8 apple juice for $32 c) 5 orange juice for $20 d) 10 pineapple juice for $35
Percentage as a Rate per Hundred - Matching Worksheet Match the following questions to their answers. Write the letter of the answer that matches the question. 1. 60 % of 90 a. $32 2. 80 % of 70 b. $27 3. 30 % of 10 c. $54 4. 50 % of 32 d. $9 5. 90 % of 30 e. $56 6. 40 % of 80 f. $1 7. 90 % of 100 g. $3 8. 20 % of 5 h. $24 9. 75 % of 32 i. $16 10. 50 % of 96 j. $48